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Simplifying 3(y + 3) = -9(y + -1) + -84 Reorder the terms: 3(3 + y) = -9(y + -1) + -84 (3 * 3 + y * 3) = -9(y + -1) + -84 (9 + 3y) = -9(y + -1) + -84 Reorder the terms: 9 + 3y = -9(-1 + y) + -84 9 + 3y = (-1 * -9 + y * -9) + -84 9 + 3y = (9 + -9y) + -84 Reorder the terms: 9 + 3y = 9 + -84 + -9y Combine like terms: 9 + -84 = -75 9 + 3y = -75 + -9y Solving 9 + 3y = -75 + -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. 9 + 3y + 9y = -75 + -9y + 9y Combine like terms: 3y + 9y = 12y 9 + 12y = -75 + -9y + 9y Combine like terms: -9y + 9y = 0 9 + 12y = -75 + 0 9 + 12y = -75 Add '-9' to each side of the equation. 9 + -9 + 12y = -75 + -9 Combine like terms: 9 + -9 = 0 0 + 12y = -75 + -9 12y = -75 + -9 Combine like terms: -75 + -9 = -84 12y = -84 Divide each side by '12'. y = -7 Simplifying y = -7
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