Problem stringlengths 21 59 | Solution stringlengths 161 284 |
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Solve for y: -8y - 4 + 8 = 4 - 1y . | The equation is in the form of ay + b = dy + c where:
a = -8
b = -4 + 8 = 4
d = -1
c = 4
The solution is y = (c - b)/(a - d) if a ≠ d
4 - 4 = 0
-8 - -1 = -7
y = 0 / -7
The fraction 0 / -7 = 0.
The solution is y = 0.
|
Solve for y: 1y = -6 - 3y . | The equation is in the form of ay + b = dy + c where:
a = 1
b = 0
d = -3
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - 0 = -6
1 - -3 = 4
y = -6 / 4
The fraction -6 / 4 = -3 / 2.
The solution is y = -3 / 2.
|
Solve for y: -6 - 5y - 5y = -5y + 8 . | The equation is in the form of ay + b = dy + c where:
a = -5 - 5 = -10
b = -6
d = -5
c = 8
The solution is y = (c - b)/(a - d) if a ≠ d
8 - -6 = 14
-10 - -5 = -5
y = 14 / -5
The solution is y = 14 / -5.
|
Solve for y: -3 + 10y + 10y - 3 = 9y + 1y + 9y . | The equation is in the form of ay + b = dy + c where:
a = 10 + 10 = 20
b = -3 - 3 = -6
d = 9 + 1 + 9 = 19
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -6 = 6
20 - 19 = 1
y = 6 / 1
The fraction 6 / 1 = 6.
The solution is y = 6.
|
Solve for y: -3y - 7 = 6y + 2y . | The equation is in the form of ay + b = dy + c where:
a = -3
b = -7
d = 6 + 2 = 8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -7 = 7
-3 - 8 = -11
y = 7 / -11
The solution is y = 7 / -11.
|
Solve for y: -7y - 3 - 5y = 3y - 3 + 1 . | The equation is in the form of ay + b = dy + c where:
a = -7 - 5 = -12
b = -3
d = 3
c = -3 + 1 = -2
The solution is y = (c - b)/(a - d) if a ≠ d
-2 - -3 = 1
-12 - 3 = -15
y = 1 / -15
The solution is y = 1 / -15.
|
Solve for y: -2 + 3y = -4 - 2y + 1y . | The equation is in the form of ay + b = dy + c where:
a = 3
b = -2
d = -2 + 1 = -1
c = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - -2 = -2
3 - -1 = 4
y = -2 / 4
The fraction -2 / 4 = -1 / 2.
The solution is y = -1 / 2.
|
Solve for y: 9y - 10 + 6y = 7 . | The equation is in the form of ay + b = dy + c where:
a = 9 + 6 = 15
b = -10
d = 0
c = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - -10 = 17
15 - 0 = 15
y = 17 / 15
The solution is y = 17 / 15.
|
Solve for y: 1y + 3 - 4 = 4y - 1 + 4y . | The equation is in the form of ay + b = dy + c where:
a = 1
b = 3 - 4 = -1
d = 4 + 4 = 8
c = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - -1 = 0
1 - 8 = -7
y = 0 / -7
The fraction 0 / -7 = 0.
The solution is y = 0.
|
Solve for y: -7 + 4 = 5y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -7 + 4 = -3
d = 5
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -3 = 3
0 - 5 = -5
y = 3 / -5
The solution is y = 3 / -5.
|
Solve for y: -8 + 5y = -3 - 10y . | The equation is in the form of ay + b = dy + c where:
a = 5
b = -8
d = -10
c = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - -8 = 5
5 - -10 = 15
y = 5 / 15
The fraction 5 / 15 = 1 / 3.
The solution is y = 1 / 3.
|
Solve for y: -1 - 4 = -3y + 9 - 5y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -1 - 4 = -5
d = -3 - 5 = -8
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - -5 = 14
0 - -8 = 8
y = 14 / 8
The fraction 14 / 8 = 7 / 4.
The solution is y = 7 / 4.
|
Solve for y: -6 + 3 - 10y = -10 - 6 . | The equation is in the form of ay + b = dy + c where:
a = -10
b = -6 + 3 = -3
d = 0
c = -10 - 6 = -16
The solution is y = (c - b)/(a - d) if a ≠ d
-16 - -3 = -13
-10 - 0 = -10
y = -13 / -10
The fraction -13 / -10 = 13 / 10.
The solution is y = 13 / 10.
|
Solve for y: -5y + 5 - 4 = -6 + 2 - 8y . | The equation is in the form of ay + b = dy + c where:
a = -5
b = 5 - 4 = 1
d = -8
c = -6 + 2 = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - 1 = -5
-5 - -8 = 3
y = -5 / 3
The solution is y = -5 / 3.
|
Solve for y: 5y = -7y - 1 - 6y . | The equation is in the form of ay + b = dy + c where:
a = 5
b = 0
d = -7 - 6 = -13
c = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - 0 = -1
5 - -13 = 18
y = -1 / 18
The solution is y = -1 / 18.
|
Solve for y: -7 + 10y + 4 = 7 - 1 - 2y . | The equation is in the form of ay + b = dy + c where:
a = 10
b = -7 + 4 = -3
d = -2
c = 7 - 1 = 6
The solution is y = (c - b)/(a - d) if a ≠ d
6 - -3 = 9
10 - -2 = 12
y = 9 / 12
The fraction 9 / 12 = 3 / 4.
The solution is y = 3 / 4.
|
Solve for y: -2 + 4 = 4y + 10 + 4y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -2 + 4 = 2
d = 4 + 4 = 8
c = 10
The solution is y = (c - b)/(a - d) if a ≠ d
10 - 2 = 8
0 - 8 = -8
y = 8 / -8
The fraction 8 / -8 = -1.
The solution is y = 1.
|
Solve for y: 1y + 8 + 8 = -1y . | The equation is in the form of ay + b = dy + c where:
a = 1
b = 8 + 8 = 16
d = -1
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 16 = -16
1 - -1 = 2
y = -16 / 2
The fraction -16 / 2 = -8.
The solution is y = -8.
|
Solve for y: -9y - 2 - 9y = 9 . | The equation is in the form of ay + b = dy + c where:
a = -9 - 9 = -18
b = -2
d = 0
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - -2 = 11
-18 - 0 = -18
y = 11 / -18
The solution is y = 11 / -18.
|
Solve for y: 10 + 8y = -7y + 9 - 6y . | The equation is in the form of ay + b = dy + c where:
a = 8
b = 10
d = -7 - 6 = -13
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - 10 = -1
8 - -13 = 21
y = -1 / 21
The solution is y = -1 / 21.
|
Solve for y: 10 - 2y + 8y = -3 + 5y + 8 . | The equation is in the form of ay + b = dy + c where:
a = -2 + 8 = 6
b = 10
d = 5
c = -3 + 8 = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - 10 = -5
6 - 5 = 1
y = -5 / 1
The fraction -5 / 1 = -5.
The solution is y = -5.
|
Solve for y: -3y + 2y + 3 + 2y = 9 + 3 . | The equation is in the form of ay + b = dy + c where:
a = -3 + 2 + 2 = 1
b = 3
d = 0
c = 9 + 3 = 12
The solution is y = (c - b)/(a - d) if a ≠ d
12 - 3 = 9
1 - 0 = 1
y = 9 / 1
The fraction 9 / 1 = 9.
The solution is y = 9.
|
Solve for y: 5 = 6y + 2y + 3 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 5
d = 6 + 2 = 8
c = 3
The solution is y = (c - b)/(a - d) if a ≠ d
3 - 5 = -2
0 - 8 = -8
y = -2 / -8
The fraction -2 / -8 = -1 / -4 = 1 / 4.
The solution is y = 1 / 4.
|
Solve for y: 5 = -3y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 5
d = -3
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 5 = -5
0 - -3 = 3
y = -5 / 3
The solution is y = -5 / 3.
|
Solve for y: 8y + 6 + 3 = -4y - 3 . | The equation is in the form of ay + b = dy + c where:
a = 8
b = 6 + 3 = 9
d = -4
c = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - 9 = -12
8 - -4 = 12
y = -12 / 12
The fraction -12 / 12 = -1.
The solution is y = -1.
|
Solve for y: -4 + 8 - 9y = -4 - 2y + 9 + 2y . | The equation is in the form of ay + b = dy + c where:
a = -9
b = -4 + 8 = 4
d = -2 + 2 = 0
c = -4 + 9 = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - 4 = 1
-9 - 0 = -9
y = 1 / -9
The solution is y = 1 / -9.
|
Solve for y: 9y + 8y = -8 + 1 . | The equation is in the form of ay + b = dy + c where:
a = 9 + 8 = 17
b = 0
d = 0
c = -8 + 1 = -7
The solution is y = (c - b)/(a - d) if a ≠ d
-7 - 0 = -7
17 - 0 = 17
y = -7 / 17
The solution is y = -7 / 17.
|
Solve for y: 5 + 8 = -6y + 5y - 2 - 9 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 5 + 8 = 13
d = -6 + 5 = -1
c = -2 - 9 = -11
The solution is y = (c - b)/(a - d) if a ≠ d
-11 - 13 = -24
0 - -1 = 1
y = -24 / 1
The fraction -24 / 1 = -24.
The solution is y = -24.
|
Solve for y: -6 + 1 = -3 + 2y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -6 + 1 = -5
d = 2
c = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - -5 = 2
0 - 2 = -2
y = 2 / -2
The fraction 2 / -2 = -1.
The solution is y = 1.
|
Solve for y: 2 - 4y = 5 . | The equation is in the form of ay + b = dy + c where:
a = -4
b = 2
d = 0
c = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - 2 = 3
-4 - 0 = -4
y = 3 / -4
The solution is y = 3 / -4.
|
Solve for y: -6 = 3y - 5 - 6 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -6
d = 3
c = -5 - 6 = -11
The solution is y = (c - b)/(a - d) if a ≠ d
-11 - -6 = -5
0 - 3 = -3
y = -5 / -3
The fraction -5 / -3 = 5 / 3.
The solution is y = 5 / 3.
|
Solve for y: -9y + 3 - 2 = 4y + 5 + 7y . | The equation is in the form of ay + b = dy + c where:
a = -9
b = 3 - 2 = 1
d = 4 + 7 = 11
c = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - 1 = 4
-9 - 11 = -20
y = 4 / -20
The fraction 4 / -20 = 1 / -5.
The solution is y = 1 / -5.
|
Solve for y: 4y + 6y + 8 = 7y + 5 + 7y . | The equation is in the form of ay + b = dy + c where:
a = 4 + 6 = 10
b = 8
d = 7 + 7 = 14
c = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - 8 = -3
10 - 14 = -4
y = -3 / -4
The fraction -3 / -4 = 3 / 4.
The solution is y = 3 / 4.
|
Solve for y: 1 = -3y + 10 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 1
d = -3
c = 10
The solution is y = (c - b)/(a - d) if a ≠ d
10 - 1 = 9
0 - -3 = 3
y = 9 / 3
The fraction 9 / 3 = 3.
The solution is y = 3.
|
Solve for y: 2y + 1y = -10y + 8y . | The equation is in the form of ay + b = dy + c where:
a = 2 + 1 = 3
b = 0
d = -10 + 8 = -2
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
3 - -2 = 5
y = 0 / 5
The fraction 0 / 5 = 0.
The solution is y = 0.
|
Solve for y: 7 - 5y = 9y - 6y . | The equation is in the form of ay + b = dy + c where:
a = -5
b = 7
d = 9 - 6 = 3
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 7 = -7
-5 - 3 = -8
y = -7 / -8
The fraction -7 / -8 = 7 / 8.
The solution is y = 7 / 8.
|
Solve for y: 2y + 3y - 3 - 5 = 5 + 6y - 5y . | The equation is in the form of ay + b = dy + c where:
a = 2 + 3 = 5
b = -3 - 5 = -8
d = 6 - 5 = 1
c = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - -8 = 13
5 - 1 = 4
y = 13 / 4
The solution is y = 13 / 4.
|
Solve for y: -2 + 8y + 2 = -8 + 9y . | The equation is in the form of ay + b = dy + c where:
a = 8
b = -2 + 2 = 0
d = 9
c = -8
The solution is y = (c - b)/(a - d) if a ≠ d
-8 - 0 = -8
8 - 9 = -1
y = -8 / -1
The fraction -8 / -1 = 8.
The solution is y = -8.
|
Solve for y: 8y = -1 . | The equation is in the form of ay + b = dy + c where:
a = 8
b = 0
d = 0
c = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - 0 = -1
8 - 0 = 8
y = -1 / 8
The solution is y = -1 / 8.
|
Solve for y: 3y + 7 = 2 + 6 . | The equation is in the form of ay + b = dy + c where:
a = 3
b = 7
d = 0
c = 2 + 6 = 8
The solution is y = (c - b)/(a - d) if a ≠ d
8 - 7 = 1
3 - 0 = 3
y = 1 / 3
The solution is y = 1 / 3.
|
Solve for y: 5y - 9y = -6y . | The equation is in the form of ay + b = dy + c where:
a = 5 - 9 = -4
b = 0
d = -6
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
-4 - -6 = 2
y = 0 / 2
The fraction 0 / 2 = 0.
The solution is y = 0.
|
Solve for y: 4y + 7y = 9y - 3y - 8 . | The equation is in the form of ay + b = dy + c where:
a = 4 + 7 = 11
b = 0
d = 9 - 3 = 6
c = -8
The solution is y = (c - b)/(a - d) if a ≠ d
-8 - 0 = -8
11 - 6 = 5
y = -8 / 5
The solution is y = -8 / 5.
|
Solve for y: -3y = -4y + 4 . | The equation is in the form of ay + b = dy + c where:
a = -3
b = 0
d = -4
c = 4
The solution is y = (c - b)/(a - d) if a ≠ d
4 - 0 = 4
-3 - -4 = 1
y = 4 / 1
The fraction 4 / 1 = 4.
The solution is y = 4.
|
Solve for y: -7 - 6 = 1y + 9 - 3y + 5 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -7 - 6 = -13
d = 1 - 3 = -2
c = 9 + 5 = 14
The solution is y = (c - b)/(a - d) if a ≠ d
14 - -13 = 27
0 - -2 = 2
y = 27 / 2
The solution is y = 27 / 2.
|
Solve for y: -9 - 10 = -4y + 2y - 7 + 7 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -9 - 10 = -19
d = -4 + 2 = -2
c = -7 + 7 = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -19 = 19
0 - -2 = 2
y = 19 / 2
The solution is y = 19 / 2.
|
Solve for y: 6 = 1y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 6
d = 1
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 6 = -6
0 - 1 = -1
y = -6 / -1
The fraction -6 / -1 = 6.
The solution is y = -6.
|
Solve for y: -7y - 8y - 10 = -4 . | The equation is in the form of ay + b = dy + c where:
a = -7 - 8 = -15
b = -10
d = 0
c = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - -10 = 6
-15 - 0 = -15
y = 6 / -15
The fraction 6 / -15 = 2 / -5.
The solution is y = 2 / -5.
|
Solve for y: 1y = 2y - 9y - 4 . | The equation is in the form of ay + b = dy + c where:
a = 1
b = 0
d = 2 - 9 = -7
c = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - 0 = -4
1 - -7 = 8
y = -4 / 8
The fraction -4 / 8 = -1 / 2.
The solution is y = -1 / 2.
|
Solve for y: -9y + 2 = -10y - 9 - 6y . | The equation is in the form of ay + b = dy + c where:
a = -9
b = 2
d = -10 - 6 = -16
c = -9
The solution is y = (c - b)/(a - d) if a ≠ d
-9 - 2 = -11
-9 - -16 = 7
y = -11 / 7
The solution is y = -11 / 7.
|
Solve for y: 2 = 10y - 8y - 4 - 9 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 2
d = 10 - 8 = 2
c = -4 - 9 = -13
The solution is y = (c - b)/(a - d) if a ≠ d
-13 - 2 = -15
0 - 2 = -2
y = -15 / -2
The fraction -15 / -2 = 15 / 2.
The solution is y = 15 / 2.
|
Solve for y: -10 + 6y = 6y - 7 + 8 . | The equation is in the form of ay + b = dy + c where:
a = 6
b = -10
d = 6
c = -7 + 8 = 1
The solution is y = (c - b)/(a - d) if a ≠ d
a = d, then it does not have solution. |
Solve for y: 6 = 10 + 1 + 8y - 6y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 6
d = 8 - 6 = 2
c = 10 + 1 = 11
The solution is y = (c - b)/(a - d) if a ≠ d
11 - 6 = 5
0 - 2 = -2
y = 5 / -2
The solution is y = 5 / -2.
|
Solve for y: -5y - 2y = 4y - 6y + 8 . | The equation is in the form of ay + b = dy + c where:
a = -5 - 2 = -7
b = 0
d = 4 - 6 = -2
c = 8
The solution is y = (c - b)/(a - d) if a ≠ d
8 - 0 = 8
-7 - -2 = -5
y = 8 / -5
The solution is y = 8 / -5.
|
Solve for y: 6y = 7 + 10y + 3y . | The equation is in the form of ay + b = dy + c where:
a = 6
b = 0
d = 10 + 3 = 13
c = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - 0 = 7
6 - 13 = -7
y = 7 / -7
The fraction 7 / -7 = -1.
The solution is y = 1.
|
Solve for y: 6 + 4 = -6y - 7 + 5 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 6 + 4 = 10
d = -6
c = -7 + 5 = -2
The solution is y = (c - b)/(a - d) if a ≠ d
-2 - 10 = -12
0 - -6 = 6
y = -12 / 6
The fraction -12 / 6 = -2.
The solution is y = -2.
|
Solve for y: 8y - 1y + 3 + 6 = 8 + 9y + 7y + 10 . | The equation is in the form of ay + b = dy + c where:
a = 8 - 1 = 7
b = 3 + 6 = 9
d = 9 + 7 = 16
c = 8 + 10 = 18
The solution is y = (c - b)/(a - d) if a ≠ d
18 - 9 = 9
7 - 16 = -9
y = 9 / -9
The fraction 9 / -9 = -1.
The solution is y = 1.
|
Solve for y: 7y + 4 + 2y = 5y + 6 + 8 - 4y . | The equation is in the form of ay + b = dy + c where:
a = 7 + 2 = 9
b = 4
d = 5 - 4 = 1
c = 6 + 8 = 14
The solution is y = (c - b)/(a - d) if a ≠ d
14 - 4 = 10
9 - 1 = 8
y = 10 / 8
The fraction 10 / 8 = 5 / 4.
The solution is y = 5 / 4.
|
Solve for y: 10 + 3 = 1y - 9 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 10 + 3 = 13
d = 1
c = -9
The solution is y = (c - b)/(a - d) if a ≠ d
-9 - 13 = -22
0 - 1 = -1
y = -22 / -1
The fraction -22 / -1 = 22.
The solution is y = -22.
|
Solve for y: 9y + 5 - 9 = 1y + 5 + 1y . | The equation is in the form of ay + b = dy + c where:
a = 9
b = 5 - 9 = -4
d = 1 + 1 = 2
c = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - -4 = 9
9 - 2 = 7
y = 9 / 7
The solution is y = 9 / 7.
|
Solve for y: -8 - 7 = 6y + 6y - 2y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -8 - 7 = -15
d = 6 + 6 - 2 = 10
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -15 = 15
0 - 10 = -10
y = 15 / -10
The fraction 15 / -10 = 3 / -2.
The solution is y = 3 / -2.
|
Solve for y: -5 - 3y + 8 = -6 . | The equation is in the form of ay + b = dy + c where:
a = -3
b = -5 + 8 = 3
d = 0
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - 3 = -9
-3 - 0 = -3
y = -9 / -3
The fraction -9 / -3 = 3.
The solution is y = -3.
|
Solve for y: -8 - 3 = -1 + 5y - 9 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -8 - 3 = -11
d = 5
c = -1 - 9 = -10
The solution is y = (c - b)/(a - d) if a ≠ d
-10 - -11 = 1
0 - 5 = -5
y = 1 / -5
The solution is y = 1 / -5.
|
Solve for y: -3y - 4y = 8 . | The equation is in the form of ay + b = dy + c where:
a = -3 - 4 = -7
b = 0
d = 0
c = 8
The solution is y = (c - b)/(a - d) if a ≠ d
8 - 0 = 8
-7 - 0 = -7
y = 8 / -7
The solution is y = 8 / -7.
|
Solve for y: 1y + 9y = -6 - 1 . | The equation is in the form of ay + b = dy + c where:
a = 1 + 9 = 10
b = 0
d = 0
c = -6 - 1 = -7
The solution is y = (c - b)/(a - d) if a ≠ d
-7 - 0 = -7
10 - 0 = 10
y = -7 / 10
The solution is y = -7 / 10.
|
Solve for y: -8 = 4y - 5 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -8
d = 4
c = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - -8 = 3
0 - 4 = -4
y = 3 / -4
The solution is y = 3 / -4.
|
Solve for y: 9 = 3y + 1y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 9
d = 3 + 1 = 4
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 9 = -9
0 - 4 = -4
y = -9 / -4
The fraction -9 / -4 = 9 / 4.
The solution is y = 9 / 4.
|
Solve for y: 10 + 7y - 7y + 4 = 9 . | The equation is in the form of ay + b = dy + c where:
a = 7 - 7 = 0
b = 10 + 4 = 14
d = 0
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
a = d, then it does not have solution. |
Solve for y: -3 - 6y = -9y + 5y . | The equation is in the form of ay + b = dy + c where:
a = -6
b = -3
d = -9 + 5 = -4
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -3 = 3
-6 - -4 = -2
y = 3 / -2
The solution is y = 3 / -2.
|
Solve for y: 8y - 2 + 4y - 8 = 7y . | The equation is in the form of ay + b = dy + c where:
a = 8 + 4 = 12
b = -2 - 8 = -10
d = 7
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -10 = 10
12 - 7 = 5
y = 10 / 5
The fraction 10 / 5 = 2.
The solution is y = 2.
|
Solve for y: 9 + 9 = 3y + 5y - 10 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 9 + 9 = 18
d = 3 + 5 = 8
c = -10
The solution is y = (c - b)/(a - d) if a ≠ d
-10 - 18 = -28
0 - 8 = -8
y = -28 / -8
The fraction -28 / -8 = -7 / -2 = 7 / 2.
The solution is y = 7 / 2.
|
Solve for y: -3y + 2 = 1y - 10 - 5y . | The equation is in the form of ay + b = dy + c where:
a = -3
b = 2
d = 1 - 5 = -4
c = -10
The solution is y = (c - b)/(a - d) if a ≠ d
-10 - 2 = -12
-3 - -4 = 1
y = -12 / 1
The fraction -12 / 1 = -12.
The solution is y = -12.
|
Solve for y: 4y - 6 - 1 = 10 - 7y - 6y + 9 . | The equation is in the form of ay + b = dy + c where:
a = 4
b = -6 - 1 = -7
d = -7 - 6 = -13
c = 10 + 9 = 19
The solution is y = (c - b)/(a - d) if a ≠ d
19 - -7 = 26
4 - -13 = 17
y = 26 / 17
The solution is y = 26 / 17.
|
Solve for y: 4 - 2 = -1y - 9 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 4 - 2 = 2
d = -1
c = -9
The solution is y = (c - b)/(a - d) if a ≠ d
-9 - 2 = -11
0 - -1 = 1
y = -11 / 1
The fraction -11 / 1 = -11.
The solution is y = -11.
|
Solve for y: -10 + 2 = -6y - 6y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -10 + 2 = -8
d = -6 - 6 = -12
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -8 = 8
0 - -12 = 12
y = 8 / 12
The fraction 8 / 12 = 2 / 3.
The solution is y = 2 / 3.
|
Solve for y: -3 + 7y + 1y = -6y - 2y . | The equation is in the form of ay + b = dy + c where:
a = 7 + 1 = 8
b = -3
d = -6 - 2 = -8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -3 = 3
8 - -8 = 16
y = 3 / 16
The solution is y = 3 / 16.
|
Solve for y: -6y - 5y = 9 - 9y + 3 . | The equation is in the form of ay + b = dy + c where:
a = -6 - 5 = -11
b = 0
d = -9
c = 9 + 3 = 12
The solution is y = (c - b)/(a - d) if a ≠ d
12 - 0 = 12
-11 - -9 = -2
y = 12 / -2
The fraction 12 / -2 = -6.
The solution is y = 6.
|
Solve for y: 8 + 3 = -8y - 1 - 5y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 8 + 3 = 11
d = -8 - 5 = -13
c = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - 11 = -12
0 - -13 = 13
y = -12 / 13
The solution is y = -12 / 13.
|
Solve for y: -10y = -4 + 2 - 3y . | The equation is in the form of ay + b = dy + c where:
a = -10
b = 0
d = -3
c = -4 + 2 = -2
The solution is y = (c - b)/(a - d) if a ≠ d
-2 - 0 = -2
-10 - -3 = -7
y = -2 / -7
The fraction -2 / -7 = 2 / 7.
The solution is y = 2 / 7.
|
Solve for y: -9 + 4y = -10 . | The equation is in the form of ay + b = dy + c where:
a = 4
b = -9
d = 0
c = -10
The solution is y = (c - b)/(a - d) if a ≠ d
-10 - -9 = -1
4 - 0 = 4
y = -1 / 4
The solution is y = -1 / 4.
|
Solve for y: 6 + 7y - 5y = 4y . | The equation is in the form of ay + b = dy + c where:
a = 7 - 5 = 2
b = 6
d = 4
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 6 = -6
2 - 4 = -2
y = -6 / -2
The fraction -6 / -2 = 3.
The solution is y = -3.
|
Solve for y: 8 = 10 - 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 8
d = -8
c = 10
The solution is y = (c - b)/(a - d) if a ≠ d
10 - 8 = 2
0 - -8 = 8
y = 2 / 8
The fraction 2 / 8 = 1 / 4.
The solution is y = 1 / 4.
|
Solve for y: 10 - 3 = -9y - 4 - 7 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 10 - 3 = 7
d = -9
c = -4 - 7 = -11
The solution is y = (c - b)/(a - d) if a ≠ d
-11 - 7 = -18
0 - -9 = 9
y = -18 / 9
The fraction -18 / 9 = -2.
The solution is y = -2.
|
Solve for y: -2 + 10y = -4y - 6 + 2y . | The equation is in the form of ay + b = dy + c where:
a = 10
b = -2
d = -4 + 2 = -2
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - -2 = -4
10 - -2 = 12
y = -4 / 12
The fraction -4 / 12 = -1 / 3.
The solution is y = -1 / 3.
|
Solve for y: -5 - 6 = 6y + 10 + 3 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -5 - 6 = -11
d = 6
c = 10 + 3 = 13
The solution is y = (c - b)/(a - d) if a ≠ d
13 - -11 = 24
0 - 6 = -6
y = 24 / -6
The fraction 24 / -6 = -4.
The solution is y = 4.
|
Solve for y: 6 + 8y - 2y = 3y - 5y . | The equation is in the form of ay + b = dy + c where:
a = 8 - 2 = 6
b = 6
d = 3 - 5 = -2
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 6 = -6
6 - -2 = 8
y = -6 / 8
The fraction -6 / 8 = -3 / 4.
The solution is y = -3 / 4.
|
Solve for y: 1 - 7y - 8 = 6 + 10y + 7y . | The equation is in the form of ay + b = dy + c where:
a = -7
b = 1 - 8 = -7
d = 10 + 7 = 17
c = 6
The solution is y = (c - b)/(a - d) if a ≠ d
6 - -7 = 13
-7 - 17 = -24
y = 13 / -24
The solution is y = 13 / -24.
|
Solve for y: -1y + 4y - 9 = -3y - 10 + 3 - 1y . | The equation is in the form of ay + b = dy + c where:
a = -1 + 4 = 3
b = -9
d = -3 - 1 = -4
c = -10 + 3 = -7
The solution is y = (c - b)/(a - d) if a ≠ d
-7 - -9 = 2
3 - -4 = 7
y = 2 / 7
The solution is y = 2 / 7.
|
Solve for y: 8 = 8 + 1y - 8 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 8
d = 1
c = 8 - 8 = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 8 = -8
0 - 1 = -1
y = -8 / -1
The fraction -8 / -1 = 8.
The solution is y = -8.
|
Solve for y: 3 = -3y - 10 - 1 + 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 3
d = -3 + 8 = 5
c = -10 - 1 = -11
The solution is y = (c - b)/(a - d) if a ≠ d
-11 - 3 = -14
0 - 5 = -5
y = -14 / -5
The fraction -14 / -5 = 14 / 5.
The solution is y = 14 / 5.
|
Solve for y: 8y - 3 = -3y . | The equation is in the form of ay + b = dy + c where:
a = 8
b = -3
d = -3
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -3 = 3
8 - -3 = 11
y = 3 / 11
The solution is y = 3 / 11.
|
Solve for y: -3y - 7 - 1 = -6y + 5y + 6 . | The equation is in the form of ay + b = dy + c where:
a = -3
b = -7 - 1 = -8
d = -6 + 5 = -1
c = 6
The solution is y = (c - b)/(a - d) if a ≠ d
6 - -8 = 14
-3 - -1 = -2
y = 14 / -2
The fraction 14 / -2 = -7.
The solution is y = 7.
|
Solve for y: 7 - 2 = 10y + 5y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 7 - 2 = 5
d = 10 + 5 = 15
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 5 = -5
0 - 15 = -15
y = -5 / -15
The fraction -5 / -15 = -1 / -3 = 1 / 3.
The solution is y = 1 / 3.
|
Solve for y: -8y - 2 + 6 = -2 . | The equation is in the form of ay + b = dy + c where:
a = -8
b = -2 + 6 = 4
d = 0
c = -2
The solution is y = (c - b)/(a - d) if a ≠ d
-2 - 4 = -6
-8 - 0 = -8
y = -6 / -8
The fraction -6 / -8 = -3 / -4 = 3 / 4.
The solution is y = 3 / 4.
|
Solve for y: 1 = 10y + 3 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 1
d = 10
c = 3
The solution is y = (c - b)/(a - d) if a ≠ d
3 - 1 = 2
0 - 10 = -10
y = 2 / -10
The fraction 2 / -10 = 1 / -5.
The solution is y = 1 / -5.
|
Solve for y: -9 + 8y + 7y + 1 = -8y + 2 - 8y . | The equation is in the form of ay + b = dy + c where:
a = 8 + 7 = 15
b = -9 + 1 = -8
d = -8 - 8 = -16
c = 2
The solution is y = (c - b)/(a - d) if a ≠ d
2 - -8 = 10
15 - -16 = 31
y = 10 / 31
The solution is y = 10 / 31.
|
Solve for y: 10 + 8 = 1y - 4 - 9y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 10 + 8 = 18
d = 1 - 9 = -8
c = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - 18 = -22
0 - -8 = 8
y = -22 / 8
The fraction -22 / 8 = -11 / 4.
The solution is y = -11 / 4.
|
Solve for y: -7y - 5y = 2 - 4y . | The equation is in the form of ay + b = dy + c where:
a = -7 - 5 = -12
b = 0
d = -4
c = 2
The solution is y = (c - b)/(a - d) if a ≠ d
2 - 0 = 2
-12 - -4 = -8
y = 2 / -8
The fraction 2 / -8 = 1 / -4.
The solution is y = 1 / -4.
|
Solve for y: -7y + 5y - 4 - 3 = -6y - 2 - 6y + 4y . | The equation is in the form of ay + b = dy + c where:
a = -7 + 5 = -2
b = -4 - 3 = -7
d = -6 - 6 + 4 = -8
c = -2
The solution is y = (c - b)/(a - d) if a ≠ d
-2 - -7 = 5
-2 - -8 = 6
y = 5 / 6
The solution is y = 5 / 6.
|
Solve for y: -3y - 5 - 1 - 6y = 10 . | The equation is in the form of ay + b = dy + c where:
a = -3 - 6 = -9
b = -5 - 1 = -6
d = 0
c = 10
The solution is y = (c - b)/(a - d) if a ≠ d
10 - -6 = 16
-9 - 0 = -9
y = 16 / -9
The solution is y = 16 / -9.
|
Solve for y: 4 + 9 = -1 + 9 + 6y - 7y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 4 + 9 = 13
d = 6 - 7 = -1
c = -1 + 9 = 8
The solution is y = (c - b)/(a - d) if a ≠ d
8 - 13 = -5
0 - -1 = 1
y = -5 / 1
The fraction -5 / 1 = -5.
The solution is y = -5.
|
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