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Simplifying 9(y + 1) = 7y + -5 Reorder the terms: 9(1 + y) = 7y + -5 (1 * 9 + y * 9) = 7y + -5 (9 + 9y) = 7y + -5 Reorder the terms: 9 + 9y = -5 + 7y Solving 9 + 9y = -5 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 9 + 9y + -7y = -5 + 7y + -7y Combine like terms: 9y + -7y = 2y 9 + 2y = -5 + 7y + -7y Combine like terms: 7y + -7y = 0 9 + 2y = -5 + 0 9 + 2y = -5 Add '-9' to each side of the equation. 9 + -9 + 2y = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = -5 + -9 2y = -5 + -9 Combine like terms: -5 + -9 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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