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Simplifying 9(y + 4) = -7y + -12 Reorder the terms: 9(4 + y) = -7y + -12 (4 * 9 + y * 9) = -7y + -12 (36 + 9y) = -7y + -12 Reorder the terms: 36 + 9y = -12 + -7y Solving 36 + 9y = -12 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 36 + 9y + 7y = -12 + -7y + 7y Combine like terms: 9y + 7y = 16y 36 + 16y = -12 + -7y + 7y Combine like terms: -7y + 7y = 0 36 + 16y = -12 + 0 36 + 16y = -12 Add '-36' to each side of the equation. 36 + -36 + 16y = -12 + -36 Combine like terms: 36 + -36 = 0 0 + 16y = -12 + -36 16y = -12 + -36 Combine like terms: -12 + -36 = -48 16y = -48 Divide each side by '16'. y = -3 Simplifying y = -3
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