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Simplifying 8(y + 9) + y = 2(y + 5) + -5 Reorder the terms: 8(9 + y) + y = 2(y + 5) + -5 (9 * 8 + y * 8) + y = 2(y + 5) + -5 (72 + 8y) + y = 2(y + 5) + -5 Combine like terms: 8y + y = 9y 72 + 9y = 2(y + 5) + -5 Reorder the terms: 72 + 9y = 2(5 + y) + -5 72 + 9y = (5 * 2 + y * 2) + -5 72 + 9y = (10 + 2y) + -5 Reorder the terms: 72 + 9y = 10 + -5 + 2y Combine like terms: 10 + -5 = 5 72 + 9y = 5 + 2y Solving 72 + 9y = 5 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 72 + 9y + -2y = 5 + 2y + -2y Combine like terms: 9y + -2y = 7y 72 + 7y = 5 + 2y + -2y Combine like terms: 2y + -2y = 0 72 + 7y = 5 + 0 72 + 7y = 5 Add '-72' to each side of the equation. 72 + -72 + 7y = 5 + -72 Combine like terms: 72 + -72 = 0 0 + 7y = 5 + -72 7y = 5 + -72 Combine like terms: 5 + -72 = -67 7y = -67 Divide each side by '7'. y = -9.571428571 Simplifying y = -9.571428571
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