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Simplifying 2(12y + 15) = y + -1(5y + -31) Reorder the terms: 2(15 + 12y) = y + -1(5y + -31) (15 * 2 + 12y * 2) = y + -1(5y + -31) (30 + 24y) = y + -1(5y + -31) Reorder the terms: 30 + 24y = y + -1(-31 + 5y) 30 + 24y = y + (-31 * -1 + 5y * -1) 30 + 24y = y + (31 + -5y) Reorder the terms: 30 + 24y = 31 + y + -5y Combine like terms: y + -5y = -4y 30 + 24y = 31 + -4y Solving 30 + 24y = 31 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 30 + 24y + 4y = 31 + -4y + 4y Combine like terms: 24y + 4y = 28y 30 + 28y = 31 + -4y + 4y Combine like terms: -4y + 4y = 0 30 + 28y = 31 + 0 30 + 28y = 31 Add '-30' to each side of the equation. 30 + -30 + 28y = 31 + -30 Combine like terms: 30 + -30 = 0 0 + 28y = 31 + -30 28y = 31 + -30 Combine like terms: 31 + -30 = 1 28y = 1 Divide each side by '28'. y = 0.03571428571 Simplifying y = 0.03571428571
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