2(5y+6)=-12(y-1)-132

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Solution for 2(5y+6)=-12(y-1)-132 equation: 


Simplifying
2(5y + 6) = -12(y + -1) + -132

Reorder the terms:
2(6 + 5y) = -12(y + -1) + -132
(6 * 2 + 5y * 2) = -12(y + -1) + -132
(12 + 10y) = -12(y + -1) + -132

Reorder the terms:
12 + 10y = -12(-1 + y) + -132
12 + 10y = (-1 * -12 + y * -12) + -132
12 + 10y = (12 + -12y) + -132

Reorder the terms:
12 + 10y = 12 + -132 + -12y

Combine like terms: 12 + -132 = -120
12 + 10y = -120 + -12y

Solving
12 + 10y = -120 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
12 + 10y + 12y = -120 + -12y + 12y

Combine like terms: 10y + 12y = 22y
12 + 22y = -120 + -12y + 12y

Combine like terms: -12y + 12y = 0
12 + 22y = -120 + 0
12 + 22y = -120

Add '-12' to each side of the equation.
12 + -12 + 22y = -120 + -12

Combine like terms: 12 + -12 = 0
0 + 22y = -120 + -12
22y = -120 + -12

Combine like terms: -120 + -12 = -132
22y = -132

Divide each side by '22'.
y = -6

Simplifying
y = -6

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