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Simplifying -9(-16 + 1y) = -15(2y + 3) (-16 * -9 + 1y * -9) = -15(2y + 3) (144 + -9y) = -15(2y + 3) Reorder the terms: 144 + -9y = -15(3 + 2y) 144 + -9y = (3 * -15 + 2y * -15) 144 + -9y = (-45 + -30y) Solving 144 + -9y = -45 + -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. 144 + -9y + 30y = -45 + -30y + 30y Combine like terms: -9y + 30y = 21y 144 + 21y = -45 + -30y + 30y Combine like terms: -30y + 30y = 0 144 + 21y = -45 + 0 144 + 21y = -45 Add '-144' to each side of the equation. 144 + -144 + 21y = -45 + -144 Combine like terms: 144 + -144 = 0 0 + 21y = -45 + -144 21y = -45 + -144 Combine like terms: -45 + -144 = -189 21y = -189 Divide each side by '21'. y = -9 Simplifying y = -9
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