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Simplifying 15(5y + 8) = -9(7y + 10) Reorder the terms: 15(8 + 5y) = -9(7y + 10) (8 * 15 + 5y * 15) = -9(7y + 10) (120 + 75y) = -9(7y + 10) Reorder the terms: 120 + 75y = -9(10 + 7y) 120 + 75y = (10 * -9 + 7y * -9) 120 + 75y = (-90 + -63y) Solving 120 + 75y = -90 + -63y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '63y' to each side of the equation. 120 + 75y + 63y = -90 + -63y + 63y Combine like terms: 75y + 63y = 138y 120 + 138y = -90 + -63y + 63y Combine like terms: -63y + 63y = 0 120 + 138y = -90 + 0 120 + 138y = -90 Add '-120' to each side of the equation. 120 + -120 + 138y = -90 + -120 Combine like terms: 120 + -120 = 0 0 + 138y = -90 + -120 138y = -90 + -120 Combine like terms: -90 + -120 = -210 138y = -210 Divide each side by '138'. y = -1.52173913 Simplifying y = -1.52173913
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