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Simplifying 11(12 + 14y) + 15(14 + -5y) = 263 (12 * 11 + 14y * 11) + 15(14 + -5y) = 263 (132 + 154y) + 15(14 + -5y) = 263 132 + 154y + (14 * 15 + -5y * 15) = 263 132 + 154y + (210 + -75y) = 263 Reorder the terms: 132 + 210 + 154y + -75y = 263 Combine like terms: 132 + 210 = 342 342 + 154y + -75y = 263 Combine like terms: 154y + -75y = 79y 342 + 79y = 263 Solving 342 + 79y = 263 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-342' to each side of the equation. 342 + -342 + 79y = 263 + -342 Combine like terms: 342 + -342 = 0 0 + 79y = 263 + -342 79y = 263 + -342 Combine like terms: 263 + -342 = -79 79y = -79 Divide each side by '79'. y = -1 Simplifying y = -1
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