Problem stringlengths 21 59 | Solution stringlengths 161 284 |
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Solve for y: -2 + 7 = 2y - 7 - 6 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -2 + 7 = 5
d = 2
c = -7 - 6 = -13
The solution is y = (c - b)/(a - d) if a ≠ d
-13 - 5 = -18
0 - 2 = -2
y = -18 / -2
The fraction -18 / -2 = 9.
The solution is y = -9.
|
Solve for y: -8y - 2y = 8y + 9y . | The equation is in the form of ay + b = dy + c where:
a = -8 - 2 = -10
b = 0
d = 8 + 9 = 17
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
-10 - 17 = -27
y = 0 / -27
The fraction 0 / -27 = 0.
The solution is y = 0.
|
Solve for y: 6 + 2 = -3 + 5 - 10y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 6 + 2 = 8
d = -10
c = -3 + 5 = 2
The solution is y = (c - b)/(a - d) if a ≠ d
2 - 8 = -6
0 - -10 = 10
y = -6 / 10
The fraction -6 / 10 = -3 / 5.
The solution is y = -3 / 5.
|
Solve for y: -2y + 9 - 10y = -2y + 3 - 5 . | The equation is in the form of ay + b = dy + c where:
a = -2 - 10 = -12
b = 9
d = -2
c = 3 - 5 = -2
The solution is y = (c - b)/(a - d) if a ≠ d
-2 - 9 = -11
-12 - -2 = -10
y = -11 / -10
The fraction -11 / -10 = 11 / 10.
The solution is y = 11 / 10.
|
Solve for y: -1 - 5 = -8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -1 - 5 = -6
d = -8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -6 = 6
0 - -8 = 8
y = 6 / 8
The fraction 6 / 8 = 3 / 4.
The solution is y = 3 / 4.
|
Solve for y: 6y = 2 - 10 . | The equation is in the form of ay + b = dy + c where:
a = 6
b = 0
d = 0
c = 2 - 10 = -8
The solution is y = (c - b)/(a - d) if a ≠ d
-8 - 0 = -8
6 - 0 = 6
y = -8 / 6
The fraction -8 / 6 = -4 / 3.
The solution is y = -4 / 3.
|
Solve for y: -3y - 8y = 10 - 2 . | The equation is in the form of ay + b = dy + c where:
a = -3 - 8 = -11
b = 0
d = 0
c = 10 - 2 = 8
The solution is y = (c - b)/(a - d) if a ≠ d
8 - 0 = 8
-11 - 0 = -11
y = 8 / -11
The solution is y = 8 / -11.
|
Solve for y: 5y = -8 + 10 . | The equation is in the form of ay + b = dy + c where:
a = 5
b = 0
d = 0
c = -8 + 10 = 2
The solution is y = (c - b)/(a - d) if a ≠ d
2 - 0 = 2
5 - 0 = 5
y = 2 / 5
The solution is y = 2 / 5.
|
Solve for y: 5y = -3 . | The equation is in the form of ay + b = dy + c where:
a = 5
b = 0
d = 0
c = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - 0 = -3
5 - 0 = 5
y = -3 / 5
The solution is y = -3 / 5.
|
Solve for y: 2 = -9 + 10y + 2 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 2
d = 10
c = -9 + 2 = -7
The solution is y = (c - b)/(a - d) if a ≠ d
-7 - 2 = -9
0 - 10 = -10
y = -9 / -10
The fraction -9 / -10 = 9 / 10.
The solution is y = 9 / 10.
|
Solve for y: 4y - 3y = -2 . | The equation is in the form of ay + b = dy + c where:
a = 4 - 3 = 1
b = 0
d = 0
c = -2
The solution is y = (c - b)/(a - d) if a ≠ d
-2 - 0 = -2
1 - 0 = 1
y = -2 / 1
The fraction -2 / 1 = -2.
The solution is y = -2.
|
Solve for y: -4 + 6y = 10y + 4y . | The equation is in the form of ay + b = dy + c where:
a = 6
b = -4
d = 10 + 4 = 14
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -4 = 4
6 - 14 = -8
y = 4 / -8
The fraction 4 / -8 = 1 / -2.
The solution is y = 1 / -2.
|
Solve for y: 2 = -6y + 5 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 2
d = -6
c = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - 2 = 3
0 - -6 = 6
y = 3 / 6
The fraction 3 / 6 = 1 / 2.
The solution is y = 1 / 2.
|
Solve for y: -7y + 5y = -5y + 10y . | The equation is in the form of ay + b = dy + c where:
a = -7 + 5 = -2
b = 0
d = -5 + 10 = 5
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
-2 - 5 = -7
y = 0 / -7
The fraction 0 / -7 = 0.
The solution is y = 0.
|
Solve for y: -1 = -3y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -1
d = -3
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -1 = 1
0 - -3 = 3
y = 1 / 3
The solution is y = 1 / 3.
|
Solve for y: 8y - 5 = 10y - 1y + 8 - 9 . | The equation is in the form of ay + b = dy + c where:
a = 8
b = -5
d = 10 - 1 = 9
c = 8 - 9 = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - -5 = 4
8 - 9 = -1
y = 4 / -1
The fraction 4 / -1 = -4.
The solution is y = 4.
|
Solve for y: -3 = -4y + 6 + 1 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -3
d = -4
c = 6 + 1 = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - -3 = 10
0 - -4 = 4
y = 10 / 4
The fraction 10 / 4 = 5 / 2.
The solution is y = 5 / 2.
|
Solve for y: -5 - 3 = -6y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -5 - 3 = -8
d = -6
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -8 = 8
0 - -6 = 6
y = 8 / 6
The fraction 8 / 6 = 4 / 3.
The solution is y = 4 / 3.
|
Solve for y: 9 + 5y + 3y = 5y . | The equation is in the form of ay + b = dy + c where:
a = 5 + 3 = 8
b = 9
d = 5
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 9 = -9
8 - 5 = 3
y = -9 / 3
The fraction -9 / 3 = -3.
The solution is y = -3.
|
Solve for y: 7y + 3 - 9y + 7y = 10 + 2y - 4y + 7 . | The equation is in the form of ay + b = dy + c where:
a = 7 - 9 + 7 = 5
b = 3
d = 2 - 4 = -2
c = 10 + 7 = 17
The solution is y = (c - b)/(a - d) if a ≠ d
17 - 3 = 14
5 - -2 = 7
y = 14 / 7
The fraction 14 / 7 = 2.
The solution is y = 2.
|
Solve for y: 6 + 4y - 2y = -9 - 7 . | The equation is in the form of ay + b = dy + c where:
a = 4 - 2 = 2
b = 6
d = 0
c = -9 - 7 = -16
The solution is y = (c - b)/(a - d) if a ≠ d
-16 - 6 = -22
2 - 0 = 2
y = -22 / 2
The fraction -22 / 2 = -11.
The solution is y = -11.
|
Solve for y: -9 - 1 = 3y - 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -9 - 1 = -10
d = 3 - 8 = -5
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -10 = 10
0 - -5 = 5
y = 10 / 5
The fraction 10 / 5 = 2.
The solution is y = 2.
|
Solve for y: 8 - 7 = -10y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 8 - 7 = 1
d = -10
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 1 = -1
0 - -10 = 10
y = -1 / 10
The solution is y = -1 / 10.
|
Solve for y: -4 - 3 = 9y - 6 + 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -4 - 3 = -7
d = 9 + 8 = 17
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - -7 = 1
0 - 17 = -17
y = 1 / -17
The solution is y = 1 / -17.
|
Solve for y: 2y + 8 + 1y = 2y . | The equation is in the form of ay + b = dy + c where:
a = 2 + 1 = 3
b = 8
d = 2
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 8 = -8
3 - 2 = 1
y = -8 / 1
The fraction -8 / 1 = -8.
The solution is y = -8.
|
Solve for y: -7y - 8 + 10y = -8 - 6 + 8y . | The equation is in the form of ay + b = dy + c where:
a = -7 + 10 = 3
b = -8
d = 8
c = -8 - 6 = -14
The solution is y = (c - b)/(a - d) if a ≠ d
-14 - -8 = -6
3 - 8 = -5
y = -6 / -5
The fraction -6 / -5 = 6 / 5.
The solution is y = 6 / 5.
|
Solve for y: 9 = -7y - 4y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 9
d = -7 - 4 = -11
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 9 = -9
0 - -11 = 11
y = -9 / 11
The solution is y = -9 / 11.
|
Solve for y: -3y - 10 - 1 = -9y - 6y . | The equation is in the form of ay + b = dy + c where:
a = -3
b = -10 - 1 = -11
d = -9 - 6 = -15
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -11 = 11
-3 - -15 = 12
y = 11 / 12
The solution is y = 11 / 12.
|
Solve for y: -2y - 9y = -6 - 10 . | The equation is in the form of ay + b = dy + c where:
a = -2 - 9 = -11
b = 0
d = 0
c = -6 - 10 = -16
The solution is y = (c - b)/(a - d) if a ≠ d
-16 - 0 = -16
-11 - 0 = -11
y = -16 / -11
The fraction -16 / -11 = 16 / 11.
The solution is y = 16 / 11.
|
Solve for y: -5 = -8y - 6 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -5
d = -8
c = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - -5 = -1
0 - -8 = 8
y = -1 / 8
The solution is y = -1 / 8.
|
Solve for y: 8 + 7 = -3 - 7y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 8 + 7 = 15
d = -7
c = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - 15 = -18
0 - -7 = 7
y = -18 / 7
The solution is y = -18 / 7.
|
Solve for y: -9 - 6 = -10y + 5 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -9 - 6 = -15
d = -10
c = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - -15 = 20
0 - -10 = 10
y = 20 / 10
The fraction 20 / 10 = 2.
The solution is y = 2.
|
Solve for y: 1 + 2y - 8 = 3y . | The equation is in the form of ay + b = dy + c where:
a = 2
b = 1 - 8 = -7
d = 3
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -7 = 7
2 - 3 = -1
y = 7 / -1
The fraction 7 / -1 = -7.
The solution is y = 7.
|
Solve for y: -1y + 2y + 7 = -10y + 6y . | The equation is in the form of ay + b = dy + c where:
a = -1 + 2 = 1
b = 7
d = -10 + 6 = -4
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 7 = -7
1 - -4 = 5
y = -7 / 5
The solution is y = -7 / 5.
|
Solve for y: 7 + 6 = 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 7 + 6 = 13
d = 8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 13 = -13
0 - 8 = -8
y = -13 / -8
The fraction -13 / -8 = 13 / 8.
The solution is y = 13 / 8.
|
Solve for y: -6y + 7 - 8 = -7y + 3 . | The equation is in the form of ay + b = dy + c where:
a = -6
b = 7 - 8 = -1
d = -7
c = 3
The solution is y = (c - b)/(a - d) if a ≠ d
3 - -1 = 4
-6 - -7 = 1
y = 4 / 1
The fraction 4 / 1 = 4.
The solution is y = 4.
|
Solve for y: -7 + 9y - 6y = -5 + 2y + 10 . | The equation is in the form of ay + b = dy + c where:
a = 9 - 6 = 3
b = -7
d = 2
c = -5 + 10 = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - -7 = 12
3 - 2 = 1
y = 12 / 1
The fraction 12 / 1 = 12.
The solution is y = 12.
|
Solve for y: -4y + 9y = 1 . | The equation is in the form of ay + b = dy + c where:
a = -4 + 9 = 5
b = 0
d = 0
c = 1
The solution is y = (c - b)/(a - d) if a ≠ d
1 - 0 = 1
5 - 0 = 5
y = 1 / 5
The solution is y = 1 / 5.
|
Solve for y: 5 = -3y + 1y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 5
d = -3 + 1 = -2
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 5 = -5
0 - -2 = 2
y = -5 / 2
The solution is y = -5 / 2.
|
Solve for y: -3 + 2y - 4y = 4y - 5y . | The equation is in the form of ay + b = dy + c where:
a = 2 - 4 = -2
b = -3
d = 4 - 5 = -1
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -3 = 3
-2 - -1 = -1
y = 3 / -1
The fraction 3 / -1 = -3.
The solution is y = 3.
|
Solve for y: -8 + 9y - 9 = -4 - 2 . | The equation is in the form of ay + b = dy + c where:
a = 9
b = -8 - 9 = -17
d = 0
c = -4 - 2 = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - -17 = 11
9 - 0 = 9
y = 11 / 9
The solution is y = 11 / 9.
|
Solve for y: -5y - 1 = -2y - 4 + 8 - 2y . | The equation is in the form of ay + b = dy + c where:
a = -5
b = -1
d = -2 - 2 = -4
c = -4 + 8 = 4
The solution is y = (c - b)/(a - d) if a ≠ d
4 - -1 = 5
-5 - -4 = -1
y = 5 / -1
The fraction 5 / -1 = -5.
The solution is y = 5.
|
Solve for y: 7y - 5 + 8 = 2 - 6y + 8 . | The equation is in the form of ay + b = dy + c where:
a = 7
b = -5 + 8 = 3
d = -6
c = 2 + 8 = 10
The solution is y = (c - b)/(a - d) if a ≠ d
10 - 3 = 7
7 - -6 = 13
y = 7 / 13
The solution is y = 7 / 13.
|
Solve for y: -1y = 2 . | The equation is in the form of ay + b = dy + c where:
a = -1
b = 0
d = 0
c = 2
The solution is y = (c - b)/(a - d) if a ≠ d
2 - 0 = 2
-1 - 0 = -1
y = 2 / -1
The fraction 2 / -1 = -2.
The solution is y = 2.
|
Solve for y: -9 + 10 + 9y = -3 . | The equation is in the form of ay + b = dy + c where:
a = 9
b = -9 + 10 = 1
d = 0
c = -3
The solution is y = (c - b)/(a - d) if a ≠ d
-3 - 1 = -4
9 - 0 = 9
y = -4 / 9
The solution is y = -4 / 9.
|
Solve for y: -4 + 9 = 5 - 10 - 4y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -4 + 9 = 5
d = -4
c = 5 - 10 = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - 5 = -10
0 - -4 = 4
y = -10 / 4
The fraction -10 / 4 = -5 / 2.
The solution is y = -5 / 2.
|
Solve for y: 5 - 1 = -10 - 1y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 5 - 1 = 4
d = -1
c = -10
The solution is y = (c - b)/(a - d) if a ≠ d
-10 - 4 = -14
0 - -1 = 1
y = -14 / 1
The fraction -14 / 1 = -14.
The solution is y = -14.
|
Solve for y: -2 - 10y + 3 = 10 . | The equation is in the form of ay + b = dy + c where:
a = -10
b = -2 + 3 = 1
d = 0
c = 10
The solution is y = (c - b)/(a - d) if a ≠ d
10 - 1 = 9
-10 - 0 = -10
y = 9 / -10
The solution is y = 9 / -10.
|
Solve for y: -7 + 6 - 10y - 4y = 1 . | The equation is in the form of ay + b = dy + c where:
a = -10 - 4 = -14
b = -7 + 6 = -1
d = 0
c = 1
The solution is y = (c - b)/(a - d) if a ≠ d
1 - -1 = 2
-14 - 0 = -14
y = 2 / -14
The fraction 2 / -14 = 1 / -7.
The solution is y = 1 / -7.
|
Solve for y: -9y + 1 - 1y = -1y - 7y . | The equation is in the form of ay + b = dy + c where:
a = -9 - 1 = -10
b = 1
d = -1 - 7 = -8
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 1 = -1
-10 - -8 = -2
y = -1 / -2
The fraction -1 / -2 = 1 / 2.
The solution is y = 1 / 2.
|
Solve for y: 6y + 7 + 6y + 8 = -8 + 7y - 2 . | The equation is in the form of ay + b = dy + c where:
a = 6 + 6 = 12
b = 7 + 8 = 15
d = 7
c = -8 - 2 = -10
The solution is y = (c - b)/(a - d) if a ≠ d
-10 - 15 = -25
12 - 7 = 5
y = -25 / 5
The fraction -25 / 5 = -5.
The solution is y = -5.
|
Solve for y: -9y + 3y - 3 - 4 = -3y . | The equation is in the form of ay + b = dy + c where:
a = -9 + 3 = -6
b = -3 - 4 = -7
d = -3
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -7 = 7
-6 - -3 = -3
y = 7 / -3
The solution is y = 7 / -3.
|
Solve for y: -5 + 5y + 5y = -7y + 6 . | The equation is in the form of ay + b = dy + c where:
a = 5 + 5 = 10
b = -5
d = -7
c = 6
The solution is y = (c - b)/(a - d) if a ≠ d
6 - -5 = 11
10 - -7 = 17
y = 11 / 17
The solution is y = 11 / 17.
|
Solve for y: 5 + 1y = -7 + 5y - 9 . | The equation is in the form of ay + b = dy + c where:
a = 1
b = 5
d = 5
c = -7 - 9 = -16
The solution is y = (c - b)/(a - d) if a ≠ d
-16 - 5 = -21
1 - 5 = -4
y = -21 / -4
The fraction -21 / -4 = 21 / 4.
The solution is y = 21 / 4.
|
Solve for y: 3y = 1 - 6 . | The equation is in the form of ay + b = dy + c where:
a = 3
b = 0
d = 0
c = 1 - 6 = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - 0 = -5
3 - 0 = 3
y = -5 / 3
The solution is y = -5 / 3.
|
Solve for y: -8 + 10 = 2y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -8 + 10 = 2
d = 2
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 2 = -2
0 - 2 = -2
y = -2 / -2
The fraction -2 / -2 = 1.
The solution is y = 1.
|
Solve for y: -4 - 2 + 8y + 7y = 2y - 10 + 4 - 1y . | The equation is in the form of ay + b = dy + c where:
a = 8 + 7 = 15
b = -4 - 2 = -6
d = 2 - 1 = 1
c = -10 + 4 = -6
The solution is y = (c - b)/(a - d) if a ≠ d
-6 - -6 = 0
15 - 1 = 14
y = 0 / 14
The fraction 0 / 14 = 0.
The solution is y = 0.
|
Solve for y: -8y + 7 - 4y = 1 - 6 . | The equation is in the form of ay + b = dy + c where:
a = -8 - 4 = -12
b = 7
d = 0
c = 1 - 6 = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - 7 = -12
-12 - 0 = -12
y = -12 / -12
The fraction -12 / -12 = 1.
The solution is y = 1.
|
Solve for y: 6y = -4 + 7y - 7y . | The equation is in the form of ay + b = dy + c where:
a = 6
b = 0
d = 7 - 7 = 0
c = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - 0 = -4
6 - 0 = 6
y = -4 / 6
The fraction -4 / 6 = -2 / 3.
The solution is y = -2 / 3.
|
Solve for y: 4y = -4 - 6y . | The equation is in the form of ay + b = dy + c where:
a = 4
b = 0
d = -6
c = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - 0 = -4
4 - -6 = 10
y = -4 / 10
The fraction -4 / 10 = -2 / 5.
The solution is y = -2 / 5.
|
Solve for y: 9y = -2y + 6y + 5 . | The equation is in the form of ay + b = dy + c where:
a = 9
b = 0
d = -2 + 6 = 4
c = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - 0 = 5
9 - 4 = 5
y = 5 / 5
The fraction 5 / 5 = 1.
The solution is y = 1.
|
Solve for y: 4y = 8y + 8y . | The equation is in the form of ay + b = dy + c where:
a = 4
b = 0
d = 8 + 8 = 16
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 0 = 0
4 - 16 = -12
y = 0 / -12
The fraction 0 / -12 = 0.
The solution is y = 0.
|
Solve for y: -3 = -9y + 5y - 7 - 4 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -3
d = -9 + 5 = -4
c = -7 - 4 = -11
The solution is y = (c - b)/(a - d) if a ≠ d
-11 - -3 = -8
0 - -4 = 4
y = -8 / 4
The fraction -8 / 4 = -2.
The solution is y = -2.
|
Solve for y: 7 + 9 = 5 + 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 7 + 9 = 16
d = 8
c = 5
The solution is y = (c - b)/(a - d) if a ≠ d
5 - 16 = -11
0 - 8 = -8
y = -11 / -8
The fraction -11 / -8 = 11 / 8.
The solution is y = 11 / 8.
|
Solve for y: -3y - 10y - 3y = -8y - 1 - 6y . | The equation is in the form of ay + b = dy + c where:
a = -3 - 10 - 3 = -16
b = 0
d = -8 - 6 = -14
c = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - 0 = -1
-16 - -14 = -2
y = -1 / -2
The fraction -1 / -2 = 1 / 2.
The solution is y = 1 / 2.
|
Solve for y: -5y + 4y - 7 = -2 - 6y . | The equation is in the form of ay + b = dy + c where:
a = -5 + 4 = -1
b = -7
d = -6
c = -2
The solution is y = (c - b)/(a - d) if a ≠ d
-2 - -7 = 5
-1 - -6 = 5
y = 5 / 5
The fraction 5 / 5 = 1.
The solution is y = 1.
|
Solve for y: -6 + 10 = 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -6 + 10 = 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 = 1 / 2.
The solution is y = 1 / 2.
|
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 solution is y = -8 / 9.
|
Solve for y: -8 + 4 = -4y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -8 + 4 = -4
d = -4
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -4 = 4
0 - -4 = 4
y = 4 / 4
The fraction 4 / 4 = 1.
The solution is y = 1.
|
Solve for y: -3 + 3 = 6 - 3y + 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -3 + 3 = 0
d = -3 + 8 = 5
c = 6
The solution is y = (c - b)/(a - d) if a ≠ d
6 - 0 = 6
0 - 5 = -5
y = 6 / -5
The solution is y = 6 / -5.
|
Solve for y: -4y = 1 . | The equation is in the form of ay + b = dy + c where:
a = -4
b = 0
d = 0
c = 1
The solution is y = (c - b)/(a - d) if a ≠ d
1 - 0 = 1
-4 - 0 = -4
y = 1 / -4
The solution is y = 1 / -4.
|
Solve for y: -7y + 8 + 5y = -4y . | The equation is in the form of ay + b = dy + c where:
a = -7 + 5 = -2
b = 8
d = -4
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 8 = -8
-2 - -4 = 2
y = -8 / 2
The fraction -8 / 2 = -4.
The solution is y = -4.
|
Solve for y: -1 - 4y = -1 + 8y - 5y . | The equation is in the form of ay + b = dy + c where:
a = -4
b = -1
d = 8 - 5 = 3
c = -1
The solution is y = (c - b)/(a - d) if a ≠ d
-1 - -1 = 0
-4 - 3 = -7
y = 0 / -7
The fraction 0 / -7 = 0.
The solution is y = 0.
|
Solve for y: -5 = 7 - 4y + 1y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -5
d = -4 + 1 = -3
c = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - -5 = 12
0 - -3 = 3
y = 12 / 3
The fraction 12 / 3 = 4.
The solution is y = 4.
|
Solve for y: -3y + 7y = 1 + 3 . | The equation is in the form of ay + b = dy + c where:
a = -3 + 7 = 4
b = 0
d = 0
c = 1 + 3 = 4
The solution is y = (c - b)/(a - d) if a ≠ d
4 - 0 = 4
4 - 0 = 4
y = 4 / 4
The fraction 4 / 4 = 1.
The solution is y = 1.
|
Solve for y: 9 - 3 = -3y - 5 - 9y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 9 - 3 = 6
d = -3 - 9 = -12
c = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - 6 = -11
0 - -12 = 12
y = -11 / 12
The solution is y = -11 / 12.
|
Solve for y: 2 = 10y + 9y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 2
d = 10 + 9 = 19
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 2 = -2
0 - 19 = -19
y = -2 / -19
The fraction -2 / -19 = 2 / 19.
The solution is y = 2 / 19.
|
Solve for y: 10 - 1y - 2 = 2 + 2 . | The equation is in the form of ay + b = dy + c where:
a = -1
b = 10 - 2 = 8
d = 0
c = 2 + 2 = 4
The solution is y = (c - b)/(a - d) if a ≠ d
4 - 8 = -4
-1 - 0 = -1
y = -4 / -1
The fraction -4 / -1 = 4.
The solution is y = -4.
|
Solve for y: -2 = -10y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -2
d = -10
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - -2 = 2
0 - -10 = 10
y = 2 / 10
The fraction 2 / 10 = 1 / 5.
The solution is y = 1 / 5.
|
Solve for y: -1 = 8y - 5 + 8y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -1
d = 8 + 8 = 16
c = -5
The solution is y = (c - b)/(a - d) if a ≠ d
-5 - -1 = -4
0 - 16 = -16
y = -4 / -16
The fraction -4 / -16 = -1 / -4 = 1 / 4.
The solution is y = 1 / 4.
|
Solve for y: -9y + 7y + 4 = -1 - 3 + 1y . | The equation is in the form of ay + b = dy + c where:
a = -9 + 7 = -2
b = 4
d = 1
c = -1 - 3 = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - 4 = -8
-2 - 1 = -3
y = -8 / -3
The fraction -8 / -3 = 8 / 3.
The solution is y = 8 / 3.
|
Solve for y: 7y + 6 + 10 = -9 - 4 . | The equation is in the form of ay + b = dy + c where:
a = 7
b = 6 + 10 = 16
d = 0
c = -9 - 4 = -13
The solution is y = (c - b)/(a - d) if a ≠ d
-13 - 16 = -29
7 - 0 = 7
y = -29 / 7
The solution is y = -29 / 7.
|
Solve for y: -3y - 2 = 7 . | The equation is in the form of ay + b = dy + c where:
a = -3
b = -2
d = 0
c = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - -2 = 9
-3 - 0 = -3
y = 9 / -3
The fraction 9 / -3 = -3.
The solution is y = 3.
|
Solve for y: -2 - 8y = -4 + 8y . | The equation is in the form of ay + b = dy + c where:
a = -8
b = -2
d = 8
c = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - -2 = -2
-8 - 8 = -16
y = -2 / -16
The fraction -2 / -16 = -1 / -8 = 1 / 8.
The solution is y = 1 / 8.
|
Solve for y: 10y = 1 + 8 - 2y . | The equation is in the form of ay + b = dy + c where:
a = 10
b = 0
d = -2
c = 1 + 8 = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - 0 = 9
10 - -2 = 12
y = 9 / 12
The fraction 9 / 12 = 3 / 4.
The solution is y = 3 / 4.
|
Solve for y: -9 = 9y + 9y - 9y + 7 . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -9
d = 9 + 9 - 9 = 9
c = 7
The solution is y = (c - b)/(a - d) if a ≠ d
7 - -9 = 16
0 - 9 = -9
y = 16 / -9
The solution is y = 16 / -9.
|
Solve for y: -4 + 4y = -5y - 9y - 1 + 10 . | The equation is in the form of ay + b = dy + c where:
a = 4
b = -4
d = -5 - 9 = -14
c = -1 + 10 = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - -4 = 13
4 - -14 = 18
y = 13 / 18
The solution is y = 13 / 18.
|
Solve for y: 3 + 4y = -3y - 6 - 8y + 2 . | The equation is in the form of ay + b = dy + c where:
a = 4
b = 3
d = -3 - 8 = -11
c = -6 + 2 = -4
The solution is y = (c - b)/(a - d) if a ≠ d
-4 - 3 = -7
4 - -11 = 15
y = -7 / 15
The solution is y = -7 / 15.
|
Solve for y: 4y - 5 - 7 = -6 - 8 . | The equation is in the form of ay + b = dy + c where:
a = 4
b = -5 - 7 = -12
d = 0
c = -6 - 8 = -14
The solution is y = (c - b)/(a - d) if a ≠ d
-14 - -12 = -2
4 - 0 = 4
y = -2 / 4
The fraction -2 / 4 = -1 / 2.
The solution is y = -1 / 2.
|
Solve for y: 7 - 10 = -1y + 1y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = 7 - 10 = -3
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: 10 + 6y = 5 + 5 . | The equation is in the form of ay + b = dy + c where:
a = 6
b = 10
d = 0
c = 5 + 5 = 10
The solution is y = (c - b)/(a - d) if a ≠ d
10 - 10 = 0
6 - 0 = 6
y = 0 / 6
The fraction 0 / 6 = 0.
The solution is y = 0.
|
Solve for y: 7 + 4y + 9y + 4y = 8 + 8 . | The equation is in the form of ay + b = dy + c where:
a = 4 + 9 + 4 = 17
b = 7
d = 0
c = 8 + 8 = 16
The solution is y = (c - b)/(a - d) if a ≠ d
16 - 7 = 9
17 - 0 = 17
y = 9 / 17
The solution is y = 9 / 17.
|
Solve for y: -2 + 10 + 1y = 9 . | The equation is in the form of ay + b = dy + c where:
a = 1
b = -2 + 10 = 8
d = 0
c = 9
The solution is y = (c - b)/(a - d) if a ≠ d
9 - 8 = 1
1 - 0 = 1
y = 1 / 1
The fraction 1 / 1 = 1.
The solution is y = 1.
|
Solve for y: -7 = -9 - 3y + 6y . | The equation is in the form of ay + b = dy + c where:
a = 0
b = -7
d = -3 + 6 = 3
c = -9
The solution is y = (c - b)/(a - d) if a ≠ d
-9 - -7 = -2
0 - 3 = -3
y = -2 / -3
The fraction -2 / -3 = 2 / 3.
The solution is y = 2 / 3.
|
Solve for y: -9y + 1 - 3 = -1y + 4 + 7 + 6y . | The equation is in the form of ay + b = dy + c where:
a = -9
b = 1 - 3 = -2
d = -1 + 6 = 5
c = 4 + 7 = 11
The solution is y = (c - b)/(a - d) if a ≠ d
11 - -2 = 13
-9 - 5 = -14
y = 13 / -14
The solution is y = 13 / -14.
|
Solve for y: 8y = -6y - 7 - 2 . | The equation is in the form of ay + b = dy + c where:
a = 8
b = 0
d = -6
c = -7 - 2 = -9
The solution is y = (c - b)/(a - d) if a ≠ d
-9 - 0 = -9
8 - -6 = 14
y = -9 / 14
The solution is y = -9 / 14.
|
Solve for y: -9y + 1y = -8 - 1 . | The equation is in the form of ay + b = dy + c where:
a = -9 + 1 = -8
b = 0
d = 0
c = -8 - 1 = -9
The solution is y = (c - b)/(a - d) if a ≠ d
-9 - 0 = -9
-8 - 0 = -8
y = -9 / -8
The fraction -9 / -8 = 9 / 8.
The solution is y = 9 / 8.
|
Solve for y: -1y + 6 - 8y + 8 = 2 + 3y . | The equation is in the form of ay + b = dy + c where:
a = -1 - 8 = -9
b = 6 + 8 = 14
d = 3
c = 2
The solution is y = (c - b)/(a - d) if a ≠ d
2 - 14 = -12
-9 - 3 = -12
y = -12 / -12
The fraction -12 / -12 = 1.
The solution is y = 1.
|
Solve for y: 7 - 10y - 6 = 5y . | The equation is in the form of ay + b = dy + c where:
a = -10
b = 7 - 6 = 1
d = 5
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
0 - 1 = -1
-10 - 5 = -15
y = -1 / -15
The fraction -1 / -15 = 1 / 15.
The solution is y = 1 / 15.
|
Solve for y: -4y + 5y = 10y - 9y . | The equation is in the form of ay + b = dy + c where:
a = -4 + 5 = 1
b = 0
d = 10 - 9 = 1
c = 0
The solution is y = (c - b)/(a - d) if a ≠ d
a = d, then it does not have solution. |
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