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Simplifying 3(-3y + 8) = -1(-9y + 120) Reorder the terms: 3(8 + -3y) = -1(-9y + 120) (8 * 3 + -3y * 3) = -1(-9y + 120) (24 + -9y) = -1(-9y + 120) Reorder the terms: 24 + -9y = -1(120 + -9y) 24 + -9y = (120 * -1 + -9y * -1) 24 + -9y = (-120 + 9y) Solving 24 + -9y = -120 + 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. 24 + -9y + -9y = -120 + 9y + -9y Combine like terms: -9y + -9y = -18y 24 + -18y = -120 + 9y + -9y Combine like terms: 9y + -9y = 0 24 + -18y = -120 + 0 24 + -18y = -120 Add '-24' to each side of the equation. 24 + -24 + -18y = -120 + -24 Combine like terms: 24 + -24 = 0 0 + -18y = -120 + -24 -18y = -120 + -24 Combine like terms: -120 + -24 = -144 -18y = -144 Divide each side by '-18'. y = 8 Simplifying y = 8
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