Problem stringlengths 21 59 | Solution stringlengths 161 284 |
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Solve for y: -8 = 4y + 2 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -8
d = 4
c = 2
The solution is y = (c - b)/(a - d) if a ≠ d
2 - -8 = 10
0 - 4 = -4
y = 10 / -4
The fraction 10 / -4 = 5 / -2.
The solution is y = 5 / -2.
|
Solve for y: 6 = 10 - 9 - 4y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 6
d = -4
c = 10 - 9 = 1
The solution is y = (c - b)/(a - d) if a ≠ d
1 - 6 = -5
0 - -4 = 4
y = -5 / 4
The solution is y = -5 / 4.
|
Solve for y: 10y = -5y + 4y + 7 . | The equation is in the form of ay + b = dy + c where:
a = 10
b = 0
d = -5 + 4 = -1
c = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - 0 = 7
10 - -1 = 11
y = 7 / 11
The solution is y = 7 / 11.
|
Solve for y: 10y = -10y - 7 - 9y . | The equation is in the form of ay + b = dy + c where:
a = 10
b = 0
d = -10 - 9 = -19
c = -7
The solution is y = (c - b)/(a - d) if a ≠ d
-7 - 0 = -7
10 - -19 = 29
y = -7 / 29
The solution is y = -7 / 29.
|
Solve for y: -4y - 8y = -8 . | The equation is in the form of ay + b = dy + c where:
a = -4 - 8 = -12
b = 0
d = 0
c = -8
The solution is y = (c - b)/(a - d) if a ≠ d
-8 - 0 = -8
-12 - 0 = -12
y = -8 / -12
The fraction -8 / -12 = -2 / -3 = 2 / 3.
The solution is y = 2 / 3.
|
Solve for y: -7y + 4 = -5 . | The equation is in the form of ay + b = dy + c where:
a = -7
b = 4
d = 0
c = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - 4 = -9
-7 - 0 = -7
y = -9 / -7
The fraction -9 / -7 = 9 / 7.
The solution is y = 9 / 7.
|
Solve for y: 8y + 10y + 10y = -6 + 9y - 5y . | The equation is in the form of ay + b = dy + c where:
a = 8 + 10 + 10 = 28
b = 0
d = 9 - 5 = 4
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - 0 = -6
28 - 4 = 24
y = -6 / 24
The fraction -6 / 24 = -1 / 4.
The solution is y = -1 / 4.
|
Solve for y: 1 + 4 = 8y - 2y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 1 + 4 = 5
d = 8 - 2 = 6
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 5 = -5
0 - 6 = -6
y = -5 / -6
The fraction -5 / -6 = 5 / 6.
The solution is y = 5 / 6.
|
Solve for y: -4 - 9 - 3y = -9y . | The equation is in the form of ay + b = dy + c where:
a = -3
b = -4 - 9 = -13
d = -9
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -13 = 13
-3 - -9 = 6
y = 13 / 6
The solution is y = 13 / 6.
|
Solve for y: 7 + 3y = -9y - 1y - 4 . | The equation is in the form of ay + b = dy + c where:
a = 3
b = 7
d = -9 - 1 = -10
c = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - 7 = -11
3 - -10 = 13
y = -11 / 13
The solution is y = -11 / 13.
|
Solve for y: -9 + 4y - 4 - 1y = 7y + 7y . | The equation is in the form of ay + b = dy + c where:
a = 4 - 1 = 3
b = -9 - 4 = -13
d = 7 + 7 = 14
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -13 = 13
3 - 14 = -11
y = 13 / -11
The solution is y = 13 / -11.
|
Solve for y: -6y - 4 = -7 + 8y . | The equation is in the form of ay + b = dy + c where:
a = -6
b = -4
d = 8
c = -7
The solution is y = (c - b)/(a - d) if a ≠ d
-7 - -4 = -3
-6 - 8 = -14
y = -3 / -14
The fraction -3 / -14 = 3 / 14.
The solution is y = 3 / 14.
|
Solve for y: 9 + 2 = -3 - 2 - 4y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 9 + 2 = 11
d = -4
c = -3 - 2 = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - 11 = -16
0 - -4 = 4
y = -16 / 4
The fraction -16 / 4 = -4.
The solution is y = -4.
|
Solve for y: -6 - 3 = 5y - 3 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -6 - 3 = -9
d = 5
c = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - -9 = 6
0 - 5 = -5
y = 6 / -5
The solution is y = 6 / -5.
|
Solve for y: -10 - 2 - 6y + 7y = -10y - 3y + 9 . | The equation is in the form of ay + b = dy + c where:
a = -6 + 7 = 1
b = -10 - 2 = -12
d = -10 - 3 = -13
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - -12 = 21
1 - -13 = 14
y = 21 / 14
The fraction 21 / 14 = 3 / 2.
The solution is y = 3 / 2.
|
Solve for y: -1 - 7 + 7y = -5 - 7 - 4y - 3y . | The equation is in the form of ay + b = dy + c where:
a = 7
b = -1 - 7 = -8
d = -4 - 3 = -7
c = -5 - 7 = -12
The solution is y = (c - b)/(a - d) if a ≠ d
-12 - -8 = -4
7 - -7 = 14
y = -4 / 14
The fraction -4 / 14 = -2 / 7.
The solution is y = -2 / 7.
|
Solve for y: -3 + 9y = -9 - 2 - 7y . | The equation is in the form of ay + b = dy + c where:
a = 9
b = -3
d = -7
c = -9 - 2 = -11
The solution is y = (c - b)/(a - d) if a ≠ d
-11 - -3 = -8
9 - -7 = 16
y = -8 / 16
The fraction -8 / 16 = -1 / 2.
The solution is y = -1 / 2.
|
Solve for y: 4y = -7y - 1y . | The equation is in the form of ay + b = dy + c where:
a = 4
b = 0
d = -7 - 1 = -8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
4 - -8 = 12
y = 0 / 12
The fraction 0 / 12 = 0.
The solution is y = 0.
|
Solve for y: 9 - 9 = 9y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 9 - 9 = 0
d = 9
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
0 - 9 = -9
y = 0 / -9
The fraction 0 / -9 = 0.
The solution is y = 0.
|
Solve for y: 1 + 2y + 8y - 6 = 7 + 8 - 2y + 9y . | The equation is in the form of ay + b = dy + c where:
a = 2 + 8 = 10
b = 1 - 6 = -5
d = -2 + 9 = 7
c = 7 + 8 = 15
The solution is y = (c - b)/(a - d) if a ≠ d
15 - -5 = 20
10 - 7 = 3
y = 20 / 3
The solution is y = 20 / 3.
|
Solve for y: 1 - 8y = 5 + 8 . | The equation is in the form of ay + b = dy + c where:
a = -8
b = 1
d = 0
c = 5 + 8 = 13
The solution is y = (c - b)/(a - d) if a ≠ d
13 - 1 = 12
-8 - 0 = -8
y = 12 / -8
The fraction 12 / -8 = 3 / -2.
The solution is y = 3 / -2.
|
Solve for y: -1y = 3y - 9 + 4 . | The equation is in the form of ay + b = dy + c where:
a = -1
b = 0
d = 3
c = -9 + 4 = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - 0 = -5
-1 - 3 = -4
y = -5 / -4
The fraction -5 / -4 = 5 / 4.
The solution is y = 5 / 4.
|
Solve for y: 9 + 4y + 7y + 4y = 10 . | The equation is in the form of ay + b = dy + c where:
a = 4 + 7 + 4 = 15
b = 9
d = 0
c = 10
The solution is y = (c - b)/(a - d) if a ≠ d
10 - 9 = 1
15 - 0 = 15
y = 1 / 15
The solution is y = 1 / 15.
|
Solve for y: 9 = 6y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 9
d = 6
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 9 = -9
0 - 6 = -6
y = -9 / -6
The fraction -9 / -6 = -3 / -2 = 3 / 2.
The solution is y = 3 / 2.
|
Solve for y: -3 = -4 - 9y + 9y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -3
d = -9 + 9 = 0
c = -4
The solution is y = (c - b)/(a - d) if a ≠ d
a = d, then it does not have solution. |
Solve for y: -3y - 1 - 8y = 6 + 10 . | The equation is in the form of ay + b = dy + c where:
a = -3 - 8 = -11
b = -1
d = 0
c = 6 + 10 = 16
The solution is y = (c - b)/(a - d) if a ≠ d
16 - -1 = 17
-11 - 0 = -11
y = 17 / -11
The solution is y = 17 / -11.
|
Solve for y: 10y - 3y = 10y + 10y . | The equation is in the form of ay + b = dy + c where:
a = 10 - 3 = 7
b = 0
d = 10 + 10 = 20
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
7 - 20 = -13
y = 0 / -13
The fraction 0 / -13 = 0.
The solution is y = 0.
|
Solve for y: -1y + 2 - 1y + 9 = -3 . | The equation is in the form of ay + b = dy + c where:
a = -1 - 1 = -2
b = 2 + 9 = 11
d = 0
c = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - 11 = -14
-2 - 0 = -2
y = -14 / -2
The fraction -14 / -2 = 7.
The solution is y = -7.
|
Solve for y: 1 + 2 = -4y - 10y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 1 + 2 = 3
d = -4 - 10 = -14
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 3 = -3
0 - -14 = 14
y = -3 / 14
The solution is y = -3 / 14.
|
Solve for y: 1y - 8y = -9 + 10 . | The equation is in the form of ay + b = dy + c where:
a = 1 - 8 = -7
b = 0
d = 0
c = -9 + 10 = 1
The solution is y = (c - b)/(a - d) if a ≠ d
1 - 0 = 1
-7 - 0 = -7
y = 1 / -7
The solution is y = 1 / -7.
|
Solve for y: -10y + 5 - 2 - 7y = 1y + 5 - 8 . | The equation is in the form of ay + b = dy + c where:
a = -10 - 7 = -17
b = 5 - 2 = 3
d = 1
c = 5 - 8 = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - 3 = -6
-17 - 1 = -18
y = -6 / -18
The fraction -6 / -18 = -1 / -3 = 1 / 3.
The solution is y = 1 / 3.
|
Solve for y: -9y = -9y - 8 . | The equation is in the form of ay + b = dy + c where:
a = -9
b = 0
d = -9
c = -8
The solution is y = (c - b)/(a - d) if a ≠ d
a = d, then it does not have solution. |
Solve for y: 3y - 6 - 5y = 4y + 7 + 10 . | The equation is in the form of ay + b = dy + c where:
a = 3 - 5 = -2
b = -6
d = 4
c = 7 + 10 = 17
The solution is y = (c - b)/(a - d) if a ≠ d
17 - -6 = 23
-2 - 4 = -6
y = 23 / -6
The solution is y = 23 / -6.
|
Solve for y: 3y + 6 + 3y = -9y + 6 . | The equation is in the form of ay + b = dy + c where:
a = 3 + 3 = 6
b = 6
d = -9
c = 6
The solution is y = (c - b)/(a - d) if a ≠ d
6 - 6 = 0
6 - -9 = 15
y = 0 / 15
The fraction 0 / 15 = 0.
The solution is y = 0.
|
Solve for y: -1 + 3y - 4y = 9y + 5y . | The equation is in the form of ay + b = dy + c where:
a = 3 - 4 = -1
b = -1
d = 9 + 5 = 14
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -1 = 1
-1 - 14 = -15
y = 1 / -15
The solution is y = 1 / -15.
|
Solve for y: -8y = 8y - 9y . | The equation is in the form of ay + b = dy + c where:
a = -8
b = 0
d = 8 - 9 = -1
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
-8 - -1 = -7
y = 0 / -7
The fraction 0 / -7 = 0.
The solution is y = 0.
|
Solve for y: -7y - 1 + 9 = -4y . | The equation is in the form of ay + b = dy + c where:
a = -7
b = -1 + 9 = 8
d = -4
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 8 = -8
-7 - -4 = -3
y = -8 / -3
The fraction -8 / -3 = 8 / 3.
The solution is y = 8 / 3.
|
Solve for y: 6 + 10y - 10 = -2 . | The equation is in the form of ay + b = dy + c where:
a = 10
b = 6 - 10 = -4
d = 0
c = -2
The solution is y = (c - b)/(a - d) if a ≠ d
-2 - -4 = 2
10 - 0 = 10
y = 2 / 10
The fraction 2 / 10 = 1 / 5.
The solution is y = 1 / 5.
|
Solve for y: -4 - 1 = -10y + 6y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -4 - 1 = -5
d = -10 + 6 = -4
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -5 = 5
0 - -4 = 4
y = 5 / 4
The solution is y = 5 / 4.
|
Solve for y: 5 - 5y + 7 = -8 . | The equation is in the form of ay + b = dy + c where:
a = -5
b = 5 + 7 = 12
d = 0
c = -8
The solution is y = (c - b)/(a - d) if a ≠ d
-8 - 12 = -20
-5 - 0 = -5
y = -20 / -5
The fraction -20 / -5 = 4.
The solution is y = -4.
|
Solve for y: -10 - 8 = -5 + 2y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -10 - 8 = -18
d = 2
c = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - -18 = 13
0 - 2 = -2
y = 13 / -2
The solution is y = 13 / -2.
|
Solve for y: -3 - 10 = -7 - 2 - 9y - 3y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -3 - 10 = -13
d = -9 - 3 = -12
c = -7 - 2 = -9
The solution is y = (c - b)/(a - d) if a ≠ d
-9 - -13 = 4
0 - -12 = 12
y = 4 / 12
The fraction 4 / 12 = 1 / 3.
The solution is y = 1 / 3.
|
Solve for y: -2y + 4 + 6 - 1y = -4 - 6y . | The equation is in the form of ay + b = dy + c where:
a = -2 - 1 = -3
b = 4 + 6 = 10
d = -6
c = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - 10 = -14
-3 - -6 = 3
y = -14 / 3
The solution is y = -14 / 3.
|
Solve for y: -5y + 2y - 9 = 8y . | The equation is in the form of ay + b = dy + c where:
a = -5 + 2 = -3
b = -9
d = 8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -9 = 9
-3 - 8 = -11
y = 9 / -11
The solution is y = 9 / -11.
|
Solve for y: -10y = 3y + 8y . | The equation is in the form of ay + b = dy + c where:
a = -10
b = 0
d = 3 + 8 = 11
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
-10 - 11 = -21
y = 0 / -21
The fraction 0 / -21 = 0.
The solution is y = 0.
|
Solve for y: -4 = 3 - 3y + 1y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -4
d = -3 + 1 = -2
c = 3
The solution is y = (c - b)/(a - d) if a ≠ d
3 - -4 = 7
0 - -2 = 2
y = 7 / 2
The solution is y = 7 / 2.
|
Solve for y: -4y = 9 - 6 . | The equation is in the form of ay + b = dy + c where:
a = -4
b = 0
d = 0
c = 9 - 6 = 3
The solution is y = (c - b)/(a - d) if a ≠ d
3 - 0 = 3
-4 - 0 = -4
y = 3 / -4
The solution is y = 3 / -4.
|
Solve for y: -10y = -9y - 2y . | The equation is in the form of ay + b = dy + c where:
a = -10
b = 0
d = -9 - 2 = -11
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
-10 - -11 = 1
y = 0 / 1
The fraction 0 / 1 = 0.
The solution is y = 0.
|
Solve for y: -5 = 8 - 6y - 10y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -5
d = -6 - 10 = -16
c = 8
The solution is y = (c - b)/(a - d) if a ≠ d
8 - -5 = 13
0 - -16 = 16
y = 13 / 16
The solution is y = 13 / 16.
|
Solve for y: -5 - 2 + 3y = -5 + 1y . | The equation is in the form of ay + b = dy + c where:
a = 3
b = -5 - 2 = -7
d = 1
c = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - -7 = 2
3 - 1 = 2
y = 2 / 2
The fraction 2 / 2 = 1.
The solution is y = 1.
|
Solve for y: 6 - 10y - 8 = -8y - 3y - 10 + 3 . | The equation is in the form of ay + b = dy + c where:
a = -10
b = 6 - 8 = -2
d = -8 - 3 = -11
c = -10 + 3 = -7
The solution is y = (c - b)/(a - d) if a ≠ d
-7 - -2 = -5
-10 - -11 = 1
y = -5 / 1
The fraction -5 / 1 = -5.
The solution is y = -5.
|
Solve for y: -1y = -2y - 6 + 9 . | The equation is in the form of ay + b = dy + c where:
a = -1
b = 0
d = -2
c = -6 + 9 = 3
The solution is y = (c - b)/(a - d) if a ≠ d
3 - 0 = 3
-1 - -2 = 1
y = 3 / 1
The fraction 3 / 1 = 3.
The solution is y = 3.
|
Solve for y: -5 + 7 = 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -5 + 7 = 2
d = 8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 2 = -2
0 - 8 = -8
y = -2 / -8
The fraction -2 / -8 = -1 / -4 = 1 / 4.
The solution is y = 1 / 4.
|
Solve for y: -7 + 10y + 2y - 7 = 4y + 4y . | The equation is in the form of ay + b = dy + c where:
a = 10 + 2 = 12
b = -7 - 7 = -14
d = 4 + 4 = 8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -14 = 14
12 - 8 = 4
y = 14 / 4
The fraction 14 / 4 = 7 / 2.
The solution is y = 7 / 2.
|
Solve for y: 7y - 2 = 2 . | The equation is in the form of ay + b = dy + c where:
a = 7
b = -2
d = 0
c = 2
The solution is y = (c - b)/(a - d) if a ≠ d
2 - -2 = 4
7 - 0 = 7
y = 4 / 7
The solution is y = 4 / 7.
|
Solve for y: -5y + 2 - 10 = 7 - 6 - 3y . | The equation is in the form of ay + b = dy + c where:
a = -5
b = 2 - 10 = -8
d = -3
c = 7 - 6 = 1
The solution is y = (c - b)/(a - d) if a ≠ d
1 - -8 = 9
-5 - -3 = -2
y = 9 / -2
The solution is y = 9 / -2.
|
Solve for y: 5 + 4 = 9y - 7y - 7y + 9y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 5 + 4 = 9
d = 9 - 7 - 7 + 9 = 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 = -9y + 2y - 9y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 10
d = -9 + 2 - 9 = -16
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 10 = -10
0 - -16 = 16
y = -10 / 16
The fraction -10 / 16 = -5 / 8.
The solution is y = -5 / 8.
|
Solve for y: -3y + 8 - 4y - 2 = 6 - 8y . | The equation is in the form of ay + b = dy + c where:
a = -3 - 4 = -7
b = 8 - 2 = 6
d = -8
c = 6
The solution is y = (c - b)/(a - d) if a ≠ d
6 - 6 = 0
-7 - -8 = 1
y = 0 / 1
The fraction 0 / 1 = 0.
The solution is y = 0.
|
Solve for y: -3y - 1 = -1 - 7 . | The equation is in the form of ay + b = dy + c where:
a = -3
b = -1
d = 0
c = -1 - 7 = -8
The solution is y = (c - b)/(a - d) if a ≠ d
-8 - -1 = -7
-3 - 0 = -3
y = -7 / -3
The fraction -7 / -3 = 7 / 3.
The solution is y = 7 / 3.
|
Solve for y: -6y + 10y = -10 - 3 . | The equation is in the form of ay + b = dy + c where:
a = -6 + 10 = 4
b = 0
d = 0
c = -10 - 3 = -13
The solution is y = (c - b)/(a - d) if a ≠ d
-13 - 0 = -13
4 - 0 = 4
y = -13 / 4
The solution is y = -13 / 4.
|
Solve for y: -5 - 7 = -3y - 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -5 - 7 = -12
d = -3 - 8 = -11
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -12 = 12
0 - -11 = 11
y = 12 / 11
The solution is y = 12 / 11.
|
Solve for y: -7 - 2 = -8 - 3y - 7y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -7 - 2 = -9
d = -3 - 7 = -10
c = -8
The solution is y = (c - b)/(a - d) if a ≠ d
-8 - -9 = 1
0 - -10 = 10
y = 1 / 10
The solution is y = 1 / 10.
|
Solve for y: 9 + 5y - 8 - 4y = 5y . | The equation is in the form of ay + b = dy + c where:
a = 5 - 4 = 1
b = 9 - 8 = 1
d = 5
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 1 = -1
1 - 5 = -4
y = -1 / -4
The fraction -1 / -4 = 1 / 4.
The solution is y = 1 / 4.
|
Solve for y: 9y + 7y = -9 - 5y - 3 . | The equation is in the form of ay + b = dy + c where:
a = 9 + 7 = 16
b = 0
d = -5
c = -9 - 3 = -12
The solution is y = (c - b)/(a - d) if a ≠ d
-12 - 0 = -12
16 - -5 = 21
y = -12 / 21
The fraction -12 / 21 = -4 / 7.
The solution is y = -4 / 7.
|
Solve for y: 4y - 8 = 10y . | The equation is in the form of ay + b = dy + c where:
a = 4
b = -8
d = 10
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -8 = 8
4 - 10 = -6
y = 8 / -6
The fraction 8 / -6 = 4 / -3.
The solution is y = 4 / -3.
|
Solve for y: 6 + 9 + 4y = -9 + 8 . | The equation is in the form of ay + b = dy + c where:
a = 4
b = 6 + 9 = 15
d = 0
c = -9 + 8 = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - 15 = -16
4 - 0 = 4
y = -16 / 4
The fraction -16 / 4 = -4.
The solution is y = -4.
|
Solve for y: 9y - 10 = -6 . | The equation is in the form of ay + b = dy + c where:
a = 9
b = -10
d = 0
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - -10 = 4
9 - 0 = 9
y = 4 / 9
The solution is y = 4 / 9.
|
Solve for y: -7 + 2y - 3 = -7y + 7y . | The equation is in the form of ay + b = dy + c where:
a = 2
b = -7 - 3 = -10
d = -7 + 7 = 0
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -10 = 10
2 - 0 = 2
y = 10 / 2
The fraction 10 / 2 = 5.
The solution is y = 5.
|
Solve for y: -4 + 10 = -7y + 9y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -4 + 10 = 6
d = -7 + 9 = 2
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 6 = -6
0 - 2 = -2
y = -6 / -2
The fraction -6 / -2 = 3.
The solution is y = -3.
|
Solve for y: -2y - 1 - 10 = -4y - 8y + 7 . | The equation is in the form of ay + b = dy + c where:
a = -2
b = -1 - 10 = -11
d = -4 - 8 = -12
c = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - -11 = 18
-2 - -12 = 10
y = 18 / 10
The fraction 18 / 10 = 9 / 5.
The solution is y = 9 / 5.
|
Solve for y: 4 - 2y - 10 = 5 - 6y - 9 . | The equation is in the form of ay + b = dy + c where:
a = -2
b = 4 - 10 = -6
d = -6
c = 5 - 9 = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - -6 = 2
-2 - -6 = 4
y = 2 / 4
The fraction 2 / 4 = 1 / 2.
The solution is y = 1 / 2.
|
Solve for y: -6 = -9y + 5 - 9y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -6
d = -9 - 9 = -18
c = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - -6 = 11
0 - -18 = 18
y = 11 / 18
The solution is y = 11 / 18.
|
Solve for y: 6 - 6 = 5y - 8y - 3 - 3 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 6 - 6 = 0
d = 5 - 8 = -3
c = -3 - 3 = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - 0 = -6
0 - -3 = 3
y = -6 / 3
The fraction -6 / 3 = -2.
The solution is y = -2.
|
Solve for y: -6 + 6y - 5 = 6y - 9 + 4y . | The equation is in the form of ay + b = dy + c where:
a = 6
b = -6 - 5 = -11
d = 6 + 4 = 10
c = -9
The solution is y = (c - b)/(a - d) if a ≠ d
-9 - -11 = 2
6 - 10 = -4
y = 2 / -4
The fraction 2 / -4 = 1 / -2.
The solution is y = 1 / -2.
|
Solve for y: -9 - 7 = -4y - 1 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -9 - 7 = -16
d = -4
c = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - -16 = 15
0 - -4 = 4
y = 15 / 4
The solution is y = 15 / 4.
|
Solve for y: -5y = -10y - 4y . | The equation is in the form of ay + b = dy + c where:
a = -5
b = 0
d = -10 - 4 = -14
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
-5 - -14 = 9
y = 0 / 9
The fraction 0 / 9 = 0.
The solution is y = 0.
|
Solve for y: 3y = -4y + 5y - 5 + 5y . | The equation is in the form of ay + b = dy + c where:
a = 3
b = 0
d = -4 + 5 + 5 = 6
c = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - 0 = -5
3 - 6 = -3
y = -5 / -3
The fraction -5 / -3 = 5 / 3.
The solution is y = 5 / 3.
|
Solve for y: 5y + 5y = -10 . | The equation is in the form of ay + b = dy + c where:
a = 5 + 5 = 10
b = 0
d = 0
c = -10
The solution is y = (c - b)/(a - d) if a ≠ d
-10 - 0 = -10
10 - 0 = 10
y = -10 / 10
The fraction -10 / 10 = -1.
The solution is y = -1.
|
Solve for y: 4 - 1 = -9y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 4 - 1 = 3
d = -9
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 3 = -3
0 - -9 = 9
y = -3 / 9
The fraction -3 / 9 = -1 / 3.
The solution is y = -1 / 3.
|
Solve for y: 6y = -4 + 9y + 9y - 8 . | The equation is in the form of ay + b = dy + c where:
a = 6
b = 0
d = 9 + 9 = 18
c = -4 - 8 = -12
The solution is y = (c - b)/(a - d) if a ≠ d
-12 - 0 = -12
6 - 18 = -12
y = -12 / -12
The fraction -12 / -12 = 1.
The solution is y = 1.
|
Solve for y: -6y - 10 - 7 = -7 - 8 . | The equation is in the form of ay + b = dy + c where:
a = -6
b = -10 - 7 = -17
d = 0
c = -7 - 8 = -15
The solution is y = (c - b)/(a - d) if a ≠ d
-15 - -17 = 2
-6 - 0 = -6
y = 2 / -6
The fraction 2 / -6 = 1 / -3.
The solution is y = 1 / -3.
|
Solve for y: -9y = -8 . | The equation is in the form of ay + b = dy + c where:
a = -9
b = 0
d = 0
c = -8
The solution is y = (c - b)/(a - d) if a ≠ d
-8 - 0 = -8
-9 - 0 = -9
y = -8 / -9
The fraction -8 / -9 = 8 / 9.
The solution is y = 8 / 9.
|
Solve for y: 6y - 10 = -4 . | The equation is in the form of ay + b = dy + c where:
a = 6
b = -10
d = 0
c = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - -10 = 6
6 - 0 = 6
y = 6 / 6
The fraction 6 / 6 = 1.
The solution is y = 1.
|
Solve for y: 9 - 8 = 5y + 7y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 9 - 8 = 1
d = 5 + 7 = 12
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 1 = -1
0 - 12 = -12
y = -1 / -12
The fraction -1 / -12 = 1 / 12.
The solution is y = 1 / 12.
|
Solve for y: -8 + 1y + 7y = 8y - 10 + 4 - 9y . | The equation is in the form of ay + b = dy + c where:
a = 1 + 7 = 8
b = -8
d = 8 - 9 = -1
c = -10 + 4 = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - -8 = 2
8 - -1 = 9
y = 2 / 9
The solution is y = 2 / 9.
|
Solve for y: -6 = -1 + 10 + 2y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -6
d = 2
c = -1 + 10 = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - -6 = 15
0 - 2 = -2
y = 15 / -2
The solution is y = 15 / -2.
|
Solve for y: 10y = 9 . | The equation is in the form of ay + b = dy + c where:
a = 10
b = 0
d = 0
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - 0 = 9
10 - 0 = 10
y = 9 / 10
The solution is y = 9 / 10.
|
Solve for y: -5y + 5y + 1 = -9 + 2y - 2y . | The equation is in the form of ay + b = dy + c where:
a = -5 + 5 = 0
b = 1
d = 2 - 2 = 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: 6y - 3 + 2y + 2y = 8 + 2y - 1 . | The equation is in the form of ay + b = dy + c where:
a = 6 + 2 + 2 = 10
b = -3
d = 2
c = 8 - 1 = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - -3 = 10
10 - 2 = 8
y = 10 / 8
The fraction 10 / 8 = 5 / 4.
The solution is y = 5 / 4.
|
Solve for y: 8y + 8y = -6 + 6 + 8y + 4y . | The equation is in the form of ay + b = dy + c where:
a = 8 + 8 = 16
b = 0
d = 8 + 4 = 12
c = -6 + 6 = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
16 - 12 = 4
y = 0 / 4
The fraction 0 / 4 = 0.
The solution is y = 0.
|
Solve for y: -10y = 10y + 5 - 6 - 3y . | The equation is in the form of ay + b = dy + c where:
a = -10
b = 0
d = 10 - 3 = 7
c = 5 - 6 = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - 0 = -1
-10 - 7 = -17
y = -1 / -17
The fraction -1 / -17 = 1 / 17.
The solution is y = 1 / 17.
|
Solve for y: -3 = 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -3
d = 8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -3 = 3
0 - 8 = -8
y = 3 / -8
The solution is y = 3 / -8.
|
Solve for y: -7y = 9 - 3 . | The equation is in the form of ay + b = dy + c where:
a = -7
b = 0
d = 0
c = 9 - 3 = 6
The solution is y = (c - b)/(a - d) if a ≠ d
6 - 0 = 6
-7 - 0 = -7
y = 6 / -7
The solution is y = 6 / -7.
|
Solve for y: 6y = -7 + 6 . | The equation is in the form of ay + b = dy + c where:
a = 6
b = 0
d = 0
c = -7 + 6 = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - 0 = -1
6 - 0 = 6
y = -1 / 6
The solution is y = -1 / 6.
|
Solve for y: -1 + 5y - 1 = 8y + 7y . | The equation is in the form of ay + b = dy + c where:
a = 5
b = -1 - 1 = -2
d = 8 + 7 = 15
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -2 = 2
5 - 15 = -10
y = 2 / -10
The fraction 2 / -10 = 1 / -5.
The solution is y = 1 / -5.
|
Solve for y: -6y - 8y = 5 . | The equation is in the form of ay + b = dy + c where:
a = -6 - 8 = -14
b = 0
d = 0
c = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - 0 = 5
-14 - 0 = -14
y = 5 / -14
The solution is y = 5 / -14.
|
Solve for y: -2 - 5 = -9 + 5y - 6 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -2 - 5 = -7
d = 5
c = -9 - 6 = -15
The solution is y = (c - b)/(a - d) if a ≠ d
-15 - -7 = -8
0 - 5 = -5
y = -8 / -5
The fraction -8 / -5 = 8 / 5.
The solution is y = 8 / 5.
|
Solve for y: -5y - 5y = 6 + 9y + 10 - 10y . | The equation is in the form of ay + b = dy + c where:
a = -5 - 5 = -10
b = 0
d = 9 - 10 = -1
c = 6 + 10 = 16
The solution is y = (c - b)/(a - d) if a ≠ d
16 - 0 = 16
-10 - -1 = -9
y = 16 / -9
The solution is y = 16 / -9.
|
Solve for y: 7 + 7 - 10y = -7 . | The equation is in the form of ay + b = dy + c where:
a = -10
b = 7 + 7 = 14
d = 0
c = -7
The solution is y = (c - b)/(a - d) if a ≠ d
-7 - 14 = -21
-10 - 0 = -10
y = -21 / -10
The fraction -21 / -10 = 21 / 10.
The solution is y = 21 / 10.
|
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