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Simplifying 9(3 + y) = 8(y + -8) (3 * 9 + y * 9) = 8(y + -8) (27 + 9y) = 8(y + -8) Reorder the terms: 27 + 9y = 8(-8 + y) 27 + 9y = (-8 * 8 + y * 8) 27 + 9y = (-64 + 8y) Solving 27 + 9y = -64 + 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. 27 + 9y + -8y = -64 + 8y + -8y Combine like terms: 9y + -8y = 1y 27 + 1y = -64 + 8y + -8y Combine like terms: 8y + -8y = 0 27 + 1y = -64 + 0 27 + 1y = -64 Add '-27' to each side of the equation. 27 + -27 + 1y = -64 + -27 Combine like terms: 27 + -27 = 0 0 + 1y = -64 + -27 1y = -64 + -27 Combine like terms: -64 + -27 = -91 1y = -91 Divide each side by '1'. y = -91 Simplifying y = -91
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