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Simplifying 2(y + 8) + 8 = (9y + -24) + -24 Reorder the terms: 2(8 + y) + 8 = (9y + -24) + -24 (8 * 2 + y * 2) + 8 = (9y + -24) + -24 (16 + 2y) + 8 = (9y + -24) + -24 Reorder the terms: 16 + 8 + 2y = (9y + -24) + -24 Combine like terms: 16 + 8 = 24 24 + 2y = (9y + -24) + -24 Reorder the terms: 24 + 2y = (-24 + 9y) + -24 Remove parenthesis around (-24 + 9y) 24 + 2y = -24 + 9y + -24 Reorder the terms: 24 + 2y = -24 + -24 + 9y Combine like terms: -24 + -24 = -48 24 + 2y = -48 + 9y Solving 24 + 2y = -48 + 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. 24 + 2y + -9y = -48 + 9y + -9y Combine like terms: 2y + -9y = -7y 24 + -7y = -48 + 9y + -9y Combine like terms: 9y + -9y = 0 24 + -7y = -48 + 0 24 + -7y = -48 Add '-24' to each side of the equation. 24 + -24 + -7y = -48 + -24 Combine like terms: 24 + -24 = 0 0 + -7y = -48 + -24 -7y = -48 + -24 Combine like terms: -48 + -24 = -72 -7y = -72 Divide each side by '-7'. y = 10.28571429 Simplifying y = 10.28571429
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