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Simplifying y + 2(7 + -1y) + -5 = 13(y + -9) y + (7 * 2 + -1y * 2) + -5 = 13(y + -9) y + (14 + -2y) + -5 = 13(y + -9) Reorder the terms: 14 + -5 + y + -2y = 13(y + -9) Combine like terms: 14 + -5 = 9 9 + y + -2y = 13(y + -9) Combine like terms: y + -2y = -1y 9 + -1y = 13(y + -9) Reorder the terms: 9 + -1y = 13(-9 + y) 9 + -1y = (-9 * 13 + y * 13) 9 + -1y = (-117 + 13y) Solving 9 + -1y = -117 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 9 + -1y + -13y = -117 + 13y + -13y Combine like terms: -1y + -13y = -14y 9 + -14y = -117 + 13y + -13y Combine like terms: 13y + -13y = 0 9 + -14y = -117 + 0 9 + -14y = -117 Add '-9' to each side of the equation. 9 + -9 + -14y = -117 + -9 Combine like terms: 9 + -9 = 0 0 + -14y = -117 + -9 -14y = -117 + -9 Combine like terms: -117 + -9 = -126 -14y = -126 Divide each side by '-14'. y = 9 Simplifying y = 9
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