2(y+1)=y-7

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


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

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

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

Solving
2 + 2y = -7 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
2 + 2y + -1y = -7 + y + -1y

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

Combine like terms: y + -1y = 0
2 + 1y = -7 + 0
2 + 1y = -7

Add '-2' to each side of the equation.
2 + -2 + 1y = -7 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = -7 + -2
1y = -7 + -2

Combine like terms: -7 + -2 = -9
1y = -9

Divide each side by '1'.
y = -9

Simplifying
y = -9

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