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Simplifying 9(1 + y) = 8(y + -6) (1 * 9 + y * 9) = 8(y + -6) (9 + 9y) = 8(y + -6) Reorder the terms: 9 + 9y = 8(-6 + y) 9 + 9y = (-6 * 8 + y * 8) 9 + 9y = (-48 + 8y) Solving 9 + 9y = -48 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 9 + 9y + -8y = -48 + 8y + -8y Combine like terms: 9y + -8y = 1y 9 + 1y = -48 + 8y + -8y Combine like terms: 8y + -8y = 0 9 + 1y = -48 + 0 9 + 1y = -48 Add '-9' to each side of the equation. 9 + -9 + 1y = -48 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = -48 + -9 1y = -48 + -9 Combine like terms: -48 + -9 = -57 1y = -57 Divide each side by '1'. y = -57 Simplifying y = -57
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