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Simplifying 9(y + 2) + y = 2(y + 5) + 7 Reorder the terms: 9(2 + y) + y = 2(y + 5) + 7 (2 * 9 + y * 9) + y = 2(y + 5) + 7 (18 + 9y) + y = 2(y + 5) + 7 Combine like terms: 9y + y = 10y 18 + 10y = 2(y + 5) + 7 Reorder the terms: 18 + 10y = 2(5 + y) + 7 18 + 10y = (5 * 2 + y * 2) + 7 18 + 10y = (10 + 2y) + 7 Reorder the terms: 18 + 10y = 10 + 7 + 2y Combine like terms: 10 + 7 = 17 18 + 10y = 17 + 2y Solving 18 + 10y = 17 + 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. 18 + 10y + -2y = 17 + 2y + -2y Combine like terms: 10y + -2y = 8y 18 + 8y = 17 + 2y + -2y Combine like terms: 2y + -2y = 0 18 + 8y = 17 + 0 18 + 8y = 17 Add '-18' to each side of the equation. 18 + -18 + 8y = 17 + -18 Combine like terms: 18 + -18 = 0 0 + 8y = 17 + -18 8y = 17 + -18 Combine like terms: 17 + -18 = -1 8y = -1 Divide each side by '8'. y = -0.125 Simplifying y = -0.125
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