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Simplifying 9(y + 1) = -3(5 + y) Reorder the terms: 9(1 + y) = -3(5 + y) (1 * 9 + y * 9) = -3(5 + y) (9 + 9y) = -3(5 + y) 9 + 9y = (5 * -3 + y * -3) 9 + 9y = (-15 + -3y) Solving 9 + 9y = -15 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 9 + 9y + 3y = -15 + -3y + 3y Combine like terms: 9y + 3y = 12y 9 + 12y = -15 + -3y + 3y Combine like terms: -3y + 3y = 0 9 + 12y = -15 + 0 9 + 12y = -15 Add '-9' to each side of the equation. 9 + -9 + 12y = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 12y = -15 + -9 12y = -15 + -9 Combine like terms: -15 + -9 = -24 12y = -24 Divide each side by '12'. y = -2 Simplifying y = -2
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