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Simplifying 8(y + 9) + y = 2(y + 3) + 6 Reorder the terms: 8(9 + y) + y = 2(y + 3) + 6 (9 * 8 + y * 8) + y = 2(y + 3) + 6 (72 + 8y) + y = 2(y + 3) + 6 Combine like terms: 8y + y = 9y 72 + 9y = 2(y + 3) + 6 Reorder the terms: 72 + 9y = 2(3 + y) + 6 72 + 9y = (3 * 2 + y * 2) + 6 72 + 9y = (6 + 2y) + 6 Reorder the terms: 72 + 9y = 6 + 6 + 2y Combine like terms: 6 + 6 = 12 72 + 9y = 12 + 2y Solving 72 + 9y = 12 + 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 = 12 + 2y + -2y Combine like terms: 9y + -2y = 7y 72 + 7y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 72 + 7y = 12 + 0 72 + 7y = 12 Add '-72' to each side of the equation. 72 + -72 + 7y = 12 + -72 Combine like terms: 72 + -72 = 0 0 + 7y = 12 + -72 7y = 12 + -72 Combine like terms: 12 + -72 = -60 7y = -60 Divide each side by '7'. y = -8.571428571 Simplifying y = -8.571428571
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