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Simplifying 9(y + 7) + y = 2(y + 5) + -8 Reorder the terms: 9(7 + y) + y = 2(y + 5) + -8 (7 * 9 + y * 9) + y = 2(y + 5) + -8 (63 + 9y) + y = 2(y + 5) + -8 Combine like terms: 9y + y = 10y 63 + 10y = 2(y + 5) + -8 Reorder the terms: 63 + 10y = 2(5 + y) + -8 63 + 10y = (5 * 2 + y * 2) + -8 63 + 10y = (10 + 2y) + -8 Reorder the terms: 63 + 10y = 10 + -8 + 2y Combine like terms: 10 + -8 = 2 63 + 10y = 2 + 2y Solving 63 + 10y = 2 + 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. 63 + 10y + -2y = 2 + 2y + -2y Combine like terms: 10y + -2y = 8y 63 + 8y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 63 + 8y = 2 + 0 63 + 8y = 2 Add '-63' to each side of the equation. 63 + -63 + 8y = 2 + -63 Combine like terms: 63 + -63 = 0 0 + 8y = 2 + -63 8y = 2 + -63 Combine like terms: 2 + -63 = -61 8y = -61 Divide each side by '8'. y = -7.625 Simplifying y = -7.625
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