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Simplifying 9y + -7 + 2(2y + 6) = -3(y + 3) Reorder the terms: 9y + -7 + 2(6 + 2y) = -3(y + 3) 9y + -7 + (6 * 2 + 2y * 2) = -3(y + 3) 9y + -7 + (12 + 4y) = -3(y + 3) Reorder the terms: -7 + 12 + 9y + 4y = -3(y + 3) Combine like terms: -7 + 12 = 5 5 + 9y + 4y = -3(y + 3) Combine like terms: 9y + 4y = 13y 5 + 13y = -3(y + 3) Reorder the terms: 5 + 13y = -3(3 + y) 5 + 13y = (3 * -3 + y * -3) 5 + 13y = (-9 + -3y) Solving 5 + 13y = -9 + -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. 5 + 13y + 3y = -9 + -3y + 3y Combine like terms: 13y + 3y = 16y 5 + 16y = -9 + -3y + 3y Combine like terms: -3y + 3y = 0 5 + 16y = -9 + 0 5 + 16y = -9 Add '-5' to each side of the equation. 5 + -5 + 16y = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 16y = -9 + -5 16y = -9 + -5 Combine like terms: -9 + -5 = -14 16y = -14 Divide each side by '16'. y = -0.875 Simplifying y = -0.875
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