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Simplifying 3y + 39 = -9(y + 1) Reorder the terms: 39 + 3y = -9(y + 1) Reorder the terms: 39 + 3y = -9(1 + y) 39 + 3y = (1 * -9 + y * -9) 39 + 3y = (-9 + -9y) Solving 39 + 3y = -9 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 39 + 3y + 9y = -9 + -9y + 9y Combine like terms: 3y + 9y = 12y 39 + 12y = -9 + -9y + 9y Combine like terms: -9y + 9y = 0 39 + 12y = -9 + 0 39 + 12y = -9 Add '-39' to each side of the equation. 39 + -39 + 12y = -9 + -39 Combine like terms: 39 + -39 = 0 0 + 12y = -9 + -39 12y = -9 + -39 Combine like terms: -9 + -39 = -48 12y = -48 Divide each side by '12'. y = -4 Simplifying y = -4
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