2(y-1)-3(y-7)=7

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Solution for 2(y-1)-3(y-7)=7 equation: 


Simplifying
2(y + -1) + -3(y + -7) = 7

Reorder the terms:
2(-1 + y) + -3(y + -7) = 7
(-1 * 2 + y * 2) + -3(y + -7) = 7
(-2 + 2y) + -3(y + -7) = 7

Reorder the terms:
-2 + 2y + -3(-7 + y) = 7
-2 + 2y + (-7 * -3 + y * -3) = 7
-2 + 2y + (21 + -3y) = 7

Reorder the terms:
-2 + 21 + 2y + -3y = 7

Combine like terms: -2 + 21 = 19
19 + 2y + -3y = 7

Combine like terms: 2y + -3y = -1y
19 + -1y = 7

Solving
19 + -1y = 7

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-19' to each side of the equation.
19 + -19 + -1y = 7 + -19

Combine like terms: 19 + -19 = 0
0 + -1y = 7 + -19
-1y = 7 + -19

Combine like terms: 7 + -19 = -12
-1y = -12

Divide each side by '-1'.
y = 12

Simplifying
y = 12

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