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Simplifying 8(12y + 15) = -9(9y + 7) + -6y Reorder the terms: 8(15 + 12y) = -9(9y + 7) + -6y (15 * 8 + 12y * 8) = -9(9y + 7) + -6y (120 + 96y) = -9(9y + 7) + -6y Reorder the terms: 120 + 96y = -9(7 + 9y) + -6y 120 + 96y = (7 * -9 + 9y * -9) + -6y 120 + 96y = (-63 + -81y) + -6y Combine like terms: -81y + -6y = -87y 120 + 96y = -63 + -87y Solving 120 + 96y = -63 + -87y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '87y' to each side of the equation. 120 + 96y + 87y = -63 + -87y + 87y Combine like terms: 96y + 87y = 183y 120 + 183y = -63 + -87y + 87y Combine like terms: -87y + 87y = 0 120 + 183y = -63 + 0 120 + 183y = -63 Add '-120' to each side of the equation. 120 + -120 + 183y = -63 + -120 Combine like terms: 120 + -120 = 0 0 + 183y = -63 + -120 183y = -63 + -120 Combine like terms: -63 + -120 = -183 183y = -183 Divide each side by '183'. y = -1 Simplifying y = -1
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