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Simplifying 9(3 + y) = 8(4 + y) (3 * 9 + y * 9) = 8(4 + y) (27 + 9y) = 8(4 + y) 27 + 9y = (4 * 8 + y * 8) 27 + 9y = (32 + 8y) Solving 27 + 9y = 32 + 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 = 32 + 8y + -8y Combine like terms: 9y + -8y = 1y 27 + 1y = 32 + 8y + -8y Combine like terms: 8y + -8y = 0 27 + 1y = 32 + 0 27 + 1y = 32 Add '-27' to each side of the equation. 27 + -27 + 1y = 32 + -27 Combine like terms: 27 + -27 = 0 0 + 1y = 32 + -27 1y = 32 + -27 Combine like terms: 32 + -27 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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