Problem stringlengths 21 59 | Solution stringlengths 161 284 |
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Solve for y: 10y + 3y = -10y - 9y - 7 . | The equation is in the form of ay + b = dy + c where:
a = 10 + 3 = 13
b = 0
d = -10 - 9 = -19
c = -7
The solution is y = (c - b)/(a - d) if a ≠ d
-7 - 0 = -7
13 - -19 = 32
y = -7 / 32
The solution is y = -7 / 32.
|
Solve for y: -8y + 10 = -6 . | The equation is in the form of ay + b = dy + c where:
a = -8
b = 10
d = 0
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - 10 = -16
-8 - 0 = -8
y = -16 / -8
The fraction -16 / -8 = 2.
The solution is y = -2.
|
Solve for y: 10 - 2 = -7y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 10 - 2 = 8
d = -7
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 8 = -8
0 - -7 = 7
y = -8 / 7
The solution is y = -8 / 7.
|
Solve for y: -4 = 9 - 4y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -4
d = -4
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - -4 = 13
0 - -4 = 4
y = 13 / 4
The solution is y = 13 / 4.
|
Solve for y: -9 = -9y + 4y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -9
d = -9 + 4 = -5
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -9 = 9
0 - -5 = 5
y = 9 / 5
The solution is y = 9 / 5.
|
Solve for y: -5y - 7y + 6 = -7y . | The equation is in the form of ay + b = dy + c where:
a = -5 - 7 = -12
b = 6
d = -7
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 6 = -6
-12 - -7 = -5
y = -6 / -5
The fraction -6 / -5 = 6 / 5.
The solution is y = 6 / 5.
|
Solve for y: -4y - 9y - 2 + 2 = -3y . | The equation is in the form of ay + b = dy + c where:
a = -4 - 9 = -13
b = -2 + 2 = 0
d = -3
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
-13 - -3 = -10
y = 0 / -10
The fraction 0 / -10 = 0.
The solution is y = 0.
|
Solve for y: 1y = 10 . | The equation is in the form of ay + b = dy + c where:
a = 1
b = 0
d = 0
c = 10
The solution is y = (c - b)/(a - d) if a ≠ d
10 - 0 = 10
1 - 0 = 1
y = 10 / 1
The fraction 10 / 1 = 10.
The solution is y = 10.
|
Solve for y: -10 + 7y + 9 = -6y - 6y . | The equation is in the form of ay + b = dy + c where:
a = 7
b = -10 + 9 = -1
d = -6 - 6 = -12
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -1 = 1
7 - -12 = 19
y = 1 / 19
The solution is y = 1 / 19.
|
Solve for y: 1y + 8 - 9y = -6 . | The equation is in the form of ay + b = dy + c where:
a = 1 - 9 = -8
b = 8
d = 0
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - 8 = -14
-8 - 0 = -8
y = -14 / -8
The fraction -14 / -8 = -7 / -4 = 7 / 4.
The solution is y = 7 / 4.
|
Solve for y: -7y - 8 + 7y = 10 . | The equation is in the form of ay + b = dy + c where:
a = -7 + 7 = 0
b = -8
d = 0
c = 10
The solution is y = (c - b)/(a - d) if a ≠ d
a = d, then it does not have solution. |
Solve for y: 3 + 9 = -8y + 8 + 7y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 3 + 9 = 12
d = -8 + 7 = -1
c = 8
The solution is y = (c - b)/(a - d) if a ≠ d
8 - 12 = -4
0 - -1 = 1
y = -4 / 1
The fraction -4 / 1 = -4.
The solution is y = -4.
|
Solve for y: 5y - 8 = -8y + 7 . | The equation is in the form of ay + b = dy + c where:
a = 5
b = -8
d = -8
c = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - -8 = 15
5 - -8 = 13
y = 15 / 13
The solution is y = 15 / 13.
|
Solve for y: -7 + 4y - 9 - 5y = -6 + 9y . | The equation is in the form of ay + b = dy + c where:
a = 4 - 5 = -1
b = -7 - 9 = -16
d = 9
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - -16 = 10
-1 - 9 = -10
y = 10 / -10
The fraction 10 / -10 = -1.
The solution is y = 1.
|
Solve for y: 1y - 5y - 1 - 8 = 8y . | The equation is in the form of ay + b = dy + c where:
a = 1 - 5 = -4
b = -1 - 8 = -9
d = 8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -9 = 9
-4 - 8 = -12
y = 9 / -12
The fraction 9 / -12 = 3 / -4.
The solution is y = 3 / -4.
|
Solve for y: -3y - 8 + 1y = -1y . | The equation is in the form of ay + b = dy + c where:
a = -3 + 1 = -2
b = -8
d = -1
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -8 = 8
-2 - -1 = -1
y = 8 / -1
The fraction 8 / -1 = -8.
The solution is y = 8.
|
Solve for y: 7y - 6 = -5 . | The equation is in the form of ay + b = dy + c where:
a = 7
b = -6
d = 0
c = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - -6 = 1
7 - 0 = 7
y = 1 / 7
The solution is y = 1 / 7.
|
Solve for y: -7y = 9 . | The equation is in the form of ay + b = dy + c where:
a = -7
b = 0
d = 0
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - 0 = 9
-7 - 0 = -7
y = 9 / -7
The solution is y = 9 / -7.
|
Solve for y: 1y = 8 . | The equation is in the form of ay + b = dy + c where:
a = 1
b = 0
d = 0
c = 8
The solution is y = (c - b)/(a - d) if a ≠ d
8 - 0 = 8
1 - 0 = 1
y = 8 / 1
The fraction 8 / 1 = 8.
The solution is y = 8.
|
Solve for y: 3y + 3y = -2 - 9y + 7y . | The equation is in the form of ay + b = dy + c where:
a = 3 + 3 = 6
b = 0
d = -9 + 7 = -2
c = -2
The solution is y = (c - b)/(a - d) if a ≠ d
-2 - 0 = -2
6 - -2 = 8
y = -2 / 8
The fraction -2 / 8 = -1 / 4.
The solution is y = -1 / 4.
|
Solve for y: 2 - 6y - 4 = -6y - 6y - 8 . | The equation is in the form of ay + b = dy + c where:
a = -6
b = 2 - 4 = -2
d = -6 - 6 = -12
c = -8
The solution is y = (c - b)/(a - d) if a ≠ d
-8 - -2 = -6
-6 - -12 = 6
y = -6 / 6
The fraction -6 / 6 = -1.
The solution is y = -1.
|
Solve for y: 1 + 10 = 6y - 9 + 9y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 1 + 10 = 11
d = 6 + 9 = 15
c = -9
The solution is y = (c - b)/(a - d) if a ≠ d
-9 - 11 = -20
0 - 15 = -15
y = -20 / -15
The fraction -20 / -15 = -4 / -3 = 4 / 3.
The solution is y = 4 / 3.
|
Solve for y: -3y = -9y . | The equation is in the form of ay + b = dy + c where:
a = -3
b = 0
d = -9
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
-3 - -9 = 6
y = 0 / 6
The fraction 0 / 6 = 0.
The solution is y = 0.
|
Solve for y: 1y = -5y - 6y . | The equation is in the form of ay + b = dy + c where:
a = 1
b = 0
d = -5 - 6 = -11
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
1 - -11 = 12
y = 0 / 12
The fraction 0 / 12 = 0.
The solution is y = 0.
|
Solve for y: 5 - 8y - 8y = 1 . | The equation is in the form of ay + b = dy + c where:
a = -8 - 8 = -16
b = 5
d = 0
c = 1
The solution is y = (c - b)/(a - d) if a ≠ d
1 - 5 = -4
-16 - 0 = -16
y = -4 / -16
The fraction -4 / -16 = -1 / -4 = 1 / 4.
The solution is y = 1 / 4.
|
Solve for y: 4y + 3 = -6 - 4 + 6y . | The equation is in the form of ay + b = dy + c where:
a = 4
b = 3
d = 6
c = -6 - 4 = -10
The solution is y = (c - b)/(a - d) if a ≠ d
-10 - 3 = -13
4 - 6 = -2
y = -13 / -2
The fraction -13 / -2 = 13 / 2.
The solution is y = 13 / 2.
|
Solve for y: 1 + 10 - 1y + 9y = -10 + 9 - 1y . | The equation is in the form of ay + b = dy + c where:
a = -1 + 9 = 8
b = 1 + 10 = 11
d = -1
c = -10 + 9 = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - 11 = -12
8 - -1 = 9
y = -12 / 9
The fraction -12 / 9 = -4 / 3.
The solution is y = -4 / 3.
|
Solve for y: 10 = -4y + 10y - 2 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 10
d = -4 + 10 = 6
c = -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: 1y = -10y - 8 + 1y + 1y . | The equation is in the form of ay + b = dy + c where:
a = 1
b = 0
d = -10 + 1 + 1 = -8
c = -8
The solution is y = (c - b)/(a - d) if a ≠ d
-8 - 0 = -8
1 - -8 = 9
y = -8 / 9
The solution is y = -8 / 9.
|
Solve for y: -6y + 6 + 8y = -8y + 6 + 10 + 4y . | The equation is in the form of ay + b = dy + c where:
a = -6 + 8 = 2
b = 6
d = -8 + 4 = -4
c = 6 + 10 = 16
The solution is y = (c - b)/(a - d) if a ≠ d
16 - 6 = 10
2 - -4 = 6
y = 10 / 6
The fraction 10 / 6 = 5 / 3.
The solution is y = 5 / 3.
|
Solve for y: -7y - 7y = 6 - 7y . | The equation is in the form of ay + b = dy + c where:
a = -7 - 7 = -14
b = 0
d = -7
c = 6
The solution is y = (c - b)/(a - d) if a ≠ d
6 - 0 = 6
-14 - -7 = -7
y = 6 / -7
The solution is y = 6 / -7.
|
Solve for y: -3 = -8y - 5 + 8y - 2 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -3
d = -8 + 8 = 0
c = -5 - 2 = -7
The solution is y = (c - b)/(a - d) if a ≠ d
a = d, then it does not have solution. |
Solve for y: 9 + 6 - 2y = -4y . | The equation is in the form of ay + b = dy + c where:
a = -2
b = 9 + 6 = 15
d = -4
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 15 = -15
-2 - -4 = 2
y = -15 / 2
The solution is y = -15 / 2.
|
Solve for y: -8 + 2y + 3y + 7 = 1y + 7y - 6 + 7y . | The equation is in the form of ay + b = dy + c where:
a = 2 + 3 = 5
b = -8 + 7 = -1
d = 1 + 7 + 7 = 15
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - -1 = -5
5 - 15 = -10
y = -5 / -10
The fraction -5 / -10 = -1 / -2 = 1 / 2.
The solution is y = 1 / 2.
|
Solve for y: -6 + 7 - 8y = -3y + 9 . | The equation is in the form of ay + b = dy + c where:
a = -8
b = -6 + 7 = 1
d = -3
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - 1 = 8
-8 - -3 = -5
y = 8 / -5
The solution is y = 8 / -5.
|
Solve for y: -3 - 5y = 9y - 10 + 10 . | The equation is in the form of ay + b = dy + c where:
a = -5
b = -3
d = 9
c = -10 + 10 = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -3 = 3
-5 - 9 = -14
y = 3 / -14
The solution is y = 3 / -14.
|
Solve for y: 3y = 2y + 3 - 5 . | The equation is in the form of ay + b = dy + c where:
a = 3
b = 0
d = 2
c = 3 - 5 = -2
The solution is y = (c - b)/(a - d) if a ≠ d
-2 - 0 = -2
3 - 2 = 1
y = -2 / 1
The fraction -2 / 1 = -2.
The solution is y = -2.
|
Solve for y: 5 + 4 = 4y + 3y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 5 + 4 = 9
d = 4 + 3 = 7
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 9 = -9
0 - 7 = -7
y = -9 / -7
The fraction -9 / -7 = 9 / 7.
The solution is y = 9 / 7.
|
Solve for y: -1y + 1y - 4 + 2 = -8y - 5y - 4 . | The equation is in the form of ay + b = dy + c where:
a = -1 + 1 = 0
b = -4 + 2 = -2
d = -8 - 5 = -13
c = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - -2 = -2
0 - -13 = 13
y = -2 / 13
The solution is y = -2 / 13.
|
Solve for y: -2 - 6 = -2 + 2y - 7 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -2 - 6 = -8
d = 2
c = -2 - 7 = -9
The solution is y = (c - b)/(a - d) if a ≠ d
-9 - -8 = -1
0 - 2 = -2
y = -1 / -2
The fraction -1 / -2 = 1 / 2.
The solution is y = 1 / 2.
|
Solve for y: -6 = -7y + 10y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -6
d = -7 + 10 = 3
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -6 = 6
0 - 3 = -3
y = 6 / -3
The fraction 6 / -3 = -2.
The solution is y = 2.
|
Solve for y: -5 - 7y + 9 - 7y = 10 + 3y + 2y . | The equation is in the form of ay + b = dy + c where:
a = -7 - 7 = -14
b = -5 + 9 = 4
d = 3 + 2 = 5
c = 10
The solution is y = (c - b)/(a - d) if a ≠ d
10 - 4 = 6
-14 - 5 = -19
y = 6 / -19
The solution is y = 6 / -19.
|
Solve for y: -8y = 4 . | The equation is in the form of ay + b = dy + c where:
a = -8
b = 0
d = 0
c = 4
The solution is y = (c - b)/(a - d) if a ≠ d
4 - 0 = 4
-8 - 0 = -8
y = 4 / -8
The fraction 4 / -8 = 1 / -2.
The solution is y = 1 / -2.
|
Solve for y: -8y - 8y = 9y - 1y + 8 . | The equation is in the form of ay + b = dy + c where:
a = -8 - 8 = -16
b = 0
d = 9 - 1 = 8
c = 8
The solution is y = (c - b)/(a - d) if a ≠ d
8 - 0 = 8
-16 - 8 = -24
y = 8 / -24
The fraction 8 / -24 = 1 / -3.
The solution is y = 1 / -3.
|
Solve for y: 1y + 10y + 3 + 1y = -6 . | The equation is in the form of ay + b = dy + c where:
a = 1 + 10 + 1 = 12
b = 3
d = 0
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - 3 = -9
12 - 0 = 12
y = -9 / 12
The fraction -9 / 12 = -3 / 4.
The solution is y = -3 / 4.
|
Solve for y: -8 + 3y = -3 . | The equation is in the form of ay + b = dy + c where:
a = 3
b = -8
d = 0
c = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - -8 = 5
3 - 0 = 3
y = 5 / 3
The solution is y = 5 / 3.
|
Solve for y: -6y - 4 = 7 + 7 + 8y . | The equation is in the form of ay + b = dy + c where:
a = -6
b = -4
d = 8
c = 7 + 7 = 14
The solution is y = (c - b)/(a - d) if a ≠ d
14 - -4 = 18
-6 - 8 = -14
y = 18 / -14
The fraction 18 / -14 = 9 / -7.
The solution is y = 9 / -7.
|
Solve for y: -5 - 8y - 3 = -10 . | The equation is in the form of ay + b = dy + c where:
a = -8
b = -5 - 3 = -8
d = 0
c = -10
The solution is y = (c - b)/(a - d) if a ≠ d
-10 - -8 = -2
-8 - 0 = -8
y = -2 / -8
The fraction -2 / -8 = -1 / -4 = 1 / 4.
The solution is y = 1 / 4.
|
Solve for y: 8y + 8y = -6y . | The equation is in the form of ay + b = dy + c where:
a = 8 + 8 = 16
b = 0
d = -6
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
16 - -6 = 22
y = 0 / 22
The fraction 0 / 22 = 0.
The solution is y = 0.
|
Solve for y: -4 = -4y + 3y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -4
d = -4 + 3 = -1
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -4 = 4
0 - -1 = 1
y = 4 / 1
The fraction 4 / 1 = 4.
The solution is y = 4.
|
Solve for y: -5y = 7 - 8y . | The equation is in the form of ay + b = dy + c where:
a = -5
b = 0
d = -8
c = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - 0 = 7
-5 - -8 = 3
y = 7 / 3
The solution is y = 7 / 3.
|
Solve for y: -2 - 10y + 6 = -3y - 5 - 2 - 4y . | The equation is in the form of ay + b = dy + c where:
a = -10
b = -2 + 6 = 4
d = -3 - 4 = -7
c = -5 - 2 = -7
The solution is y = (c - b)/(a - d) if a ≠ d
-7 - 4 = -11
-10 - -7 = -3
y = -11 / -3
The fraction -11 / -3 = 11 / 3.
The solution is y = 11 / 3.
|
Solve for y: 7 - 5 = 10y - 2y - 8 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 7 - 5 = 2
d = 10 - 2 = 8
c = -8
The solution is y = (c - b)/(a - d) if a ≠ d
-8 - 2 = -10
0 - 8 = -8
y = -10 / -8
The fraction -10 / -8 = -5 / -4 = 5 / 4.
The solution is y = 5 / 4.
|
Solve for y: -7 - 5 - 3y = -3y . | The equation is in the form of ay + b = dy + c where:
a = -3
b = -7 - 5 = -12
d = -3
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
a = d, then it does not have solution. |
Solve for y: -2 - 2 = 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -2 - 2 = -4
d = 8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -4 = 4
0 - 8 = -8
y = 4 / -8
The fraction 4 / -8 = 1 / -2.
The solution is y = 1 / -2.
|
Solve for y: 5y - 5y = 4 - 2 . | The equation is in the form of ay + b = dy + c where:
a = 5 - 5 = 0
b = 0
d = 0
c = 4 - 2 = 2
The solution is y = (c - b)/(a - d) if a ≠ d
a = d, then it does not have solution. |
Solve for y: -1y + 1y = 6 . | The equation is in the form of ay + b = dy + c where:
a = -1 + 1 = 0
b = 0
d = 0
c = 6
The solution is y = (c - b)/(a - d) if a ≠ d
a = d, then it does not have solution. |
Solve for y: -8y - 4y = -10y - 5 . | The equation is in the form of ay + b = dy + c where:
a = -8 - 4 = -12
b = 0
d = -10
c = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - 0 = -5
-12 - -10 = -2
y = -5 / -2
The fraction -5 / -2 = 5 / 2.
The solution is y = 5 / 2.
|
Solve for y: -2 + 9y + 5 = -7y - 1 - 9y . | The equation is in the form of ay + b = dy + c where:
a = 9
b = -2 + 5 = 3
d = -7 - 9 = -16
c = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - 3 = -4
9 - -16 = 25
y = -4 / 25
The solution is y = -4 / 25.
|
Solve for y: -3y + 2y = -7 - 9y + 6y . | The equation is in the form of ay + b = dy + c where:
a = -3 + 2 = -1
b = 0
d = -9 + 6 = -3
c = -7
The solution is y = (c - b)/(a - d) if a ≠ d
-7 - 0 = -7
-1 - -3 = 2
y = -7 / 2
The solution is y = -7 / 2.
|
Solve for y: 3 + 2 = 4y - 4y - 4y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 3 + 2 = 5
d = 4 - 4 - 4 = -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: -8 - 1y = -5y - 6 . | The equation is in the form of ay + b = dy + c where:
a = -1
b = -8
d = -5
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - -8 = 2
-1 - -5 = 4
y = 2 / 4
The fraction 2 / 4 = 1 / 2.
The solution is y = 1 / 2.
|
Solve for y: -10 - 10 = 5y + 5y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -10 - 10 = -20
d = 5 + 5 = 10
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -20 = 20
0 - 10 = -10
y = 20 / -10
The fraction 20 / -10 = -2.
The solution is y = 2.
|
Solve for y: 6y + 10y = -1y + 3y . | The equation is in the form of ay + b = dy + c where:
a = 6 + 10 = 16
b = 0
d = -1 + 3 = 2
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
16 - 2 = 14
y = 0 / 14
The fraction 0 / 14 = 0.
The solution is y = 0.
|
Solve for y: 10 = -3 + 2y + 3y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 10
d = 2 + 3 = 5
c = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - 10 = -13
0 - 5 = -5
y = -13 / -5
The fraction -13 / -5 = 13 / 5.
The solution is y = 13 / 5.
|
Solve for y: -10 - 2 = 6y - 3y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -10 - 2 = -12
d = 6 - 3 = 3
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -12 = 12
0 - 3 = -3
y = 12 / -3
The fraction 12 / -3 = -4.
The solution is y = 4.
|
Solve for y: -10y - 5 - 5 - 6y = 3 - 3 . | The equation is in the form of ay + b = dy + c where:
a = -10 - 6 = -16
b = -5 - 5 = -10
d = 0
c = 3 - 3 = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -10 = 10
-16 - 0 = -16
y = 10 / -16
The fraction 10 / -16 = 5 / -8.
The solution is y = 5 / -8.
|
Solve for y: -8 - 9 = 2 - 10y - 2y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -8 - 9 = -17
d = -10 - 2 = -12
c = 2
The solution is y = (c - b)/(a - d) if a ≠ d
2 - -17 = 19
0 - -12 = 12
y = 19 / 12
The solution is y = 19 / 12.
|
Solve for y: 1y = -9y . | The equation is in the form of ay + b = dy + c where:
a = 1
b = 0
d = -9
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
1 - -9 = 10
y = 0 / 10
The fraction 0 / 10 = 0.
The solution is y = 0.
|
Solve for y: -2y + 4y = 8 . | The equation is in the form of ay + b = dy + c where:
a = -2 + 4 = 2
b = 0
d = 0
c = 8
The solution is y = (c - b)/(a - d) if a ≠ d
8 - 0 = 8
2 - 0 = 2
y = 8 / 2
The fraction 8 / 2 = 4.
The solution is y = 4.
|
Solve for y: 3 - 1y - 1y - 5y = 3y + 1y + 9 . | The equation is in the form of ay + b = dy + c where:
a = -1 - 1 - 5 = -7
b = 3
d = 3 + 1 = 4
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - 3 = 6
-7 - 4 = -11
y = 6 / -11
The solution is y = 6 / -11.
|
Solve for y: -1 = 5y - 5y - 9 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -1
d = 5 - 5 = 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: -1 - 10y - 2 = 3y + 3y + 8y . | The equation is in the form of ay + b = dy + c where:
a = -10
b = -1 - 2 = -3
d = 3 + 3 + 8 = 14
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -3 = 3
-10 - 14 = -24
y = 3 / -24
The fraction 3 / -24 = 1 / -8.
The solution is y = 1 / -8.
|
Solve for y: 1y - 1 - 8y = 7y + 9 + 3y . | The equation is in the form of ay + b = dy + c where:
a = 1 - 8 = -7
b = -1
d = 7 + 3 = 10
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - -1 = 10
-7 - 10 = -17
y = 10 / -17
The solution is y = 10 / -17.
|
Solve for y: 8y + 7 = 8y + 6 - 1y + 1 . | The equation is in the form of ay + b = dy + c where:
a = 8
b = 7
d = 8 - 1 = 7
c = 6 + 1 = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - 7 = 0
8 - 7 = 1
y = 0 / 1
The fraction 0 / 1 = 0.
The solution is y = 0.
|
Solve for y: -3y = -4 + 6y - 10 + 3y . | The equation is in the form of ay + b = dy + c where:
a = -3
b = 0
d = 6 + 3 = 9
c = -4 - 10 = -14
The solution is y = (c - b)/(a - d) if a ≠ d
-14 - 0 = -14
-3 - 9 = -12
y = -14 / -12
The fraction -14 / -12 = -7 / -6 = 7 / 6.
The solution is y = 7 / 6.
|
Solve for y: 10 = 5y + 9y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 10
d = 5 + 9 = 14
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 10 = -10
0 - 14 = -14
y = -10 / -14
The fraction -10 / -14 = -5 / -7 = 5 / 7.
The solution is y = 5 / 7.
|
Solve for y: 9 = -7y + 7y + 2 - 4 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 9
d = -7 + 7 = 0
c = 2 - 4 = -2
The solution is y = (c - b)/(a - d) if a ≠ d
a = d, then it does not have solution. |
Solve for y: 8 - 8y + 4y = -4y + 3y - 1 + 3y . | The equation is in the form of ay + b = dy + c where:
a = -8 + 4 = -4
b = 8
d = -4 + 3 + 3 = 2
c = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - 8 = -9
-4 - 2 = -6
y = -9 / -6
The fraction -9 / -6 = -3 / -2 = 3 / 2.
The solution is y = 3 / 2.
|
Solve for y: 8y - 9y = -4 + 1y + 4y + 2 . | The equation is in the form of ay + b = dy + c where:
a = 8 - 9 = -1
b = 0
d = 1 + 4 = 5
c = -4 + 2 = -2
The solution is y = (c - b)/(a - d) if a ≠ d
-2 - 0 = -2
-1 - 5 = -6
y = -2 / -6
The fraction -2 / -6 = -1 / -3 = 1 / 3.
The solution is y = 1 / 3.
|
Solve for y: 2 = -3y - 5 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 2
d = -3
c = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - 2 = -7
0 - -3 = 3
y = -7 / 3
The solution is y = -7 / 3.
|
Solve for y: -1 + 5 = 7y + 1 - 10 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -1 + 5 = 4
d = 7
c = 1 - 10 = -9
The solution is y = (c - b)/(a - d) if a ≠ d
-9 - 4 = -13
0 - 7 = -7
y = -13 / -7
The fraction -13 / -7 = 13 / 7.
The solution is y = 13 / 7.
|
Solve for y: 9y - 6 = 7 . | The equation is in the form of ay + b = dy + c where:
a = 9
b = -6
d = 0
c = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - -6 = 13
9 - 0 = 9
y = 13 / 9
The solution is y = 13 / 9.
|
Solve for y: -9 = -3y + 9 + 4 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -9
d = -3
c = 9 + 4 = 13
The solution is y = (c - b)/(a - d) if a ≠ d
13 - -9 = 22
0 - -3 = 3
y = 22 / 3
The solution is y = 22 / 3.
|
Solve for y: -5 + 8 = 1y + 3y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -5 + 8 = 3
d = 1 + 3 = 4
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 3 = -3
0 - 4 = -4
y = -3 / -4
The fraction -3 / -4 = 3 / 4.
The solution is y = 3 / 4.
|
Solve for y: 5 = -2y - 1y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 5
d = -2 - 1 = -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: -2 + 9 = -2y + 10y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -2 + 9 = 7
d = -2 + 10 = 8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 7 = -7
0 - 8 = -8
y = -7 / -8
The fraction -7 / -8 = 7 / 8.
The solution is y = 7 / 8.
|
Solve for y: -4 = -1y + 1y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -4
d = -1 + 1 = 0
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
a = d, then it does not have solution. |
Solve for y: -9 + 8 = 6y + 9y + 5 + 10 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -9 + 8 = -1
d = 6 + 9 = 15
c = 5 + 10 = 15
The solution is y = (c - b)/(a - d) if a ≠ d
15 - -1 = 16
0 - 15 = -15
y = 16 / -15
The solution is y = 16 / -15.
|
Solve for y: -1 + 10 - 9y = 5y - 3 . | The equation is in the form of ay + b = dy + c where:
a = -9
b = -1 + 10 = 9
d = 5
c = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - 9 = -12
-9 - 5 = -14
y = -12 / -14
The fraction -12 / -14 = -6 / -7 = 6 / 7.
The solution is y = 6 / 7.
|
Solve for y: -7y = 7y + 2y - 3 + 2y . | The equation is in the form of ay + b = dy + c where:
a = -7
b = 0
d = 7 + 2 + 2 = 11
c = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - 0 = -3
-7 - 11 = -18
y = -3 / -18
The fraction -3 / -18 = -1 / -6 = 1 / 6.
The solution is y = 1 / 6.
|
Solve for y: -3y = 2y - 6y + 4 - 5 . | The equation is in the form of ay + b = dy + c where:
a = -3
b = 0
d = 2 - 6 = -4
c = 4 - 5 = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - 0 = -1
-3 - -4 = 1
y = -1 / 1
The fraction -1 / 1 = -1.
The solution is y = -1.
|
Solve for y: -9y + 9 - 8y = -3 - 7 + 6y + 10y . | The equation is in the form of ay + b = dy + c where:
a = -9 - 8 = -17
b = 9
d = 6 + 10 = 16
c = -3 - 7 = -10
The solution is y = (c - b)/(a - d) if a ≠ d
-10 - 9 = -19
-17 - 16 = -33
y = -19 / -33
The fraction -19 / -33 = 19 / 33.
The solution is y = 19 / 33.
|
Solve for y: -8y - 8y = -10 . | The equation is in the form of ay + b = dy + c where:
a = -8 - 8 = -16
b = 0
d = 0
c = -10
The solution is y = (c - b)/(a - d) if a ≠ d
-10 - 0 = -10
-16 - 0 = -16
y = -10 / -16
The fraction -10 / -16 = -5 / -8 = 5 / 8.
The solution is y = 5 / 8.
|
Solve for y: 1y - 9y = 6y - 5 . | The equation is in the form of ay + b = dy + c where:
a = 1 - 9 = -8
b = 0
d = 6
c = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - 0 = -5
-8 - 6 = -14
y = -5 / -14
The fraction -5 / -14 = 5 / 14.
The solution is y = 5 / 14.
|
Solve for y: -9 + 4 = 5y - 6y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -9 + 4 = -5
d = 5 - 6 = -1
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -5 = 5
0 - -1 = 1
y = 5 / 1
The fraction 5 / 1 = 5.
The solution is y = 5.
|
Solve for y: 6y + 6y - 3y + 3 = -2 - 2 + 10y . | The equation is in the form of ay + b = dy + c where:
a = 6 + 6 - 3 = 9
b = 3
d = 10
c = -2 - 2 = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - 3 = -7
9 - 10 = -1
y = -7 / -1
The fraction -7 / -1 = 7.
The solution is y = -7.
|
Solve for y: 9 = 10y - 9 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 9
d = 10
c = -9
The solution is y = (c - b)/(a - d) if a ≠ d
-9 - 9 = -18
0 - 10 = -10
y = -18 / -10
The fraction -18 / -10 = -9 / -5 = 9 / 5.
The solution is y = 9 / 5.
|
Solve for y: -6y - 2 = -2y + 5y + 9 . | The equation is in the form of ay + b = dy + c where:
a = -6
b = -2
d = -2 + 5 = 3
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - -2 = 11
-6 - 3 = -9
y = 11 / -9
The solution is y = 11 / -9.
|
Solve for y: 1y - 6 = -7y - 6 - 4y . | The equation is in the form of ay + b = dy + c where:
a = 1
b = -6
d = -7 - 4 = -11
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - -6 = 0
1 - -11 = 12
y = 0 / 12
The fraction 0 / 12 = 0.
The solution is y = 0.
|
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