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Simplifying 9(y + 7) + y = 2(y + 4) + -5 Reorder the terms: 9(7 + y) + y = 2(y + 4) + -5 (7 * 9 + y * 9) + y = 2(y + 4) + -5 (63 + 9y) + y = 2(y + 4) + -5 Combine like terms: 9y + y = 10y 63 + 10y = 2(y + 4) + -5 Reorder the terms: 63 + 10y = 2(4 + y) + -5 63 + 10y = (4 * 2 + y * 2) + -5 63 + 10y = (8 + 2y) + -5 Reorder the terms: 63 + 10y = 8 + -5 + 2y Combine like terms: 8 + -5 = 3 63 + 10y = 3 + 2y Solving 63 + 10y = 3 + 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 = 3 + 2y + -2y Combine like terms: 10y + -2y = 8y 63 + 8y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 63 + 8y = 3 + 0 63 + 8y = 3 Add '-63' to each side of the equation. 63 + -63 + 8y = 3 + -63 Combine like terms: 63 + -63 = 0 0 + 8y = 3 + -63 8y = 3 + -63 Combine like terms: 3 + -63 = -60 8y = -60 Divide each side by '8'. y = -7.5 Simplifying y = -7.5
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