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Simplifying 8(y + 5) + 9 = 2(y + 7) + -1y Reorder the terms: 8(5 + y) + 9 = 2(y + 7) + -1y (5 * 8 + y * 8) + 9 = 2(y + 7) + -1y (40 + 8y) + 9 = 2(y + 7) + -1y Reorder the terms: 40 + 9 + 8y = 2(y + 7) + -1y Combine like terms: 40 + 9 = 49 49 + 8y = 2(y + 7) + -1y Reorder the terms: 49 + 8y = 2(7 + y) + -1y 49 + 8y = (7 * 2 + y * 2) + -1y 49 + 8y = (14 + 2y) + -1y Combine like terms: 2y + -1y = 1y 49 + 8y = 14 + 1y Solving 49 + 8y = 14 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 49 + 8y + -1y = 14 + 1y + -1y Combine like terms: 8y + -1y = 7y 49 + 7y = 14 + 1y + -1y Combine like terms: 1y + -1y = 0 49 + 7y = 14 + 0 49 + 7y = 14 Add '-49' to each side of the equation. 49 + -49 + 7y = 14 + -49 Combine like terms: 49 + -49 = 0 0 + 7y = 14 + -49 7y = 14 + -49 Combine like terms: 14 + -49 = -35 7y = -35 Divide each side by '7'. y = -5 Simplifying y = -5
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