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Simplifying 9(y + 8) + y = 3(y + 5) + 6 Reorder the terms: 9(8 + y) + y = 3(y + 5) + 6 (8 * 9 + y * 9) + y = 3(y + 5) + 6 (72 + 9y) + y = 3(y + 5) + 6 Combine like terms: 9y + y = 10y 72 + 10y = 3(y + 5) + 6 Reorder the terms: 72 + 10y = 3(5 + y) + 6 72 + 10y = (5 * 3 + y * 3) + 6 72 + 10y = (15 + 3y) + 6 Reorder the terms: 72 + 10y = 15 + 6 + 3y Combine like terms: 15 + 6 = 21 72 + 10y = 21 + 3y Solving 72 + 10y = 21 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 72 + 10y + -3y = 21 + 3y + -3y Combine like terms: 10y + -3y = 7y 72 + 7y = 21 + 3y + -3y Combine like terms: 3y + -3y = 0 72 + 7y = 21 + 0 72 + 7y = 21 Add '-72' to each side of the equation. 72 + -72 + 7y = 21 + -72 Combine like terms: 72 + -72 = 0 0 + 7y = 21 + -72 7y = 21 + -72 Combine like terms: 21 + -72 = -51 7y = -51 Divide each side by '7'. y = -7.285714286 Simplifying y = -7.285714286
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