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