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Simplifying -15 + 24(y + 2) = 2(5y + 9) + -1y Reorder the terms: -15 + 24(2 + y) = 2(5y + 9) + -1y -15 + (2 * 24 + y * 24) = 2(5y + 9) + -1y -15 + (48 + 24y) = 2(5y + 9) + -1y Combine like terms: -15 + 48 = 33 33 + 24y = 2(5y + 9) + -1y Reorder the terms: 33 + 24y = 2(9 + 5y) + -1y 33 + 24y = (9 * 2 + 5y * 2) + -1y 33 + 24y = (18 + 10y) + -1y Combine like terms: 10y + -1y = 9y 33 + 24y = 18 + 9y Solving 33 + 24y = 18 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 33 + 24y + -9y = 18 + 9y + -9y Combine like terms: 24y + -9y = 15y 33 + 15y = 18 + 9y + -9y Combine like terms: 9y + -9y = 0 33 + 15y = 18 + 0 33 + 15y = 18 Add '-33' to each side of the equation. 33 + -33 + 15y = 18 + -33 Combine like terms: 33 + -33 = 0 0 + 15y = 18 + -33 15y = 18 + -33 Combine like terms: 18 + -33 = -15 15y = -15 Divide each side by '15'. y = -1 Simplifying y = -1
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