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Simplifying 9(2 + y) = 8(9 + y) (2 * 9 + y * 9) = 8(9 + y) (18 + 9y) = 8(9 + y) 18 + 9y = (9 * 8 + y * 8) 18 + 9y = (72 + 8y) Solving 18 + 9y = 72 + 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. 18 + 9y + -8y = 72 + 8y + -8y Combine like terms: 9y + -8y = 1y 18 + 1y = 72 + 8y + -8y Combine like terms: 8y + -8y = 0 18 + 1y = 72 + 0 18 + 1y = 72 Add '-18' to each side of the equation. 18 + -18 + 1y = 72 + -18 Combine like terms: 18 + -18 = 0 0 + 1y = 72 + -18 1y = 72 + -18 Combine like terms: 72 + -18 = 54 1y = 54 Divide each side by '1'. y = 54 Simplifying y = 54
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