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Simplifying -12(y + -12) = -9(1 + 7y) Reorder the terms: -12(-12 + y) = -9(1 + 7y) (-12 * -12 + y * -12) = -9(1 + 7y) (144 + -12y) = -9(1 + 7y) 144 + -12y = (1 * -9 + 7y * -9) 144 + -12y = (-9 + -63y) Solving 144 + -12y = -9 + -63y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '63y' to each side of the equation. 144 + -12y + 63y = -9 + -63y + 63y Combine like terms: -12y + 63y = 51y 144 + 51y = -9 + -63y + 63y Combine like terms: -63y + 63y = 0 144 + 51y = -9 + 0 144 + 51y = -9 Add '-144' to each side of the equation. 144 + -144 + 51y = -9 + -144 Combine like terms: 144 + -144 = 0 0 + 51y = -9 + -144 51y = -9 + -144 Combine like terms: -9 + -144 = -153 51y = -153 Divide each side by '51'. y = -3 Simplifying y = -3
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