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Simplifying 9(9 + y) = 8(3 + y) (9 * 9 + y * 9) = 8(3 + y) (81 + 9y) = 8(3 + y) 81 + 9y = (3 * 8 + y * 8) 81 + 9y = (24 + 8y) Solving 81 + 9y = 24 + 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. 81 + 9y + -8y = 24 + 8y + -8y Combine like terms: 9y + -8y = 1y 81 + 1y = 24 + 8y + -8y Combine like terms: 8y + -8y = 0 81 + 1y = 24 + 0 81 + 1y = 24 Add '-81' to each side of the equation. 81 + -81 + 1y = 24 + -81 Combine like terms: 81 + -81 = 0 0 + 1y = 24 + -81 1y = 24 + -81 Combine like terms: 24 + -81 = -57 1y = -57 Divide each side by '1'. y = -57 Simplifying y = -57
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