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Simplifying 32 + 2y + -8 = 9y + -11 + -2y Reorder the terms: 32 + -8 + 2y = 9y + -11 + -2y Combine like terms: 32 + -8 = 24 24 + 2y = 9y + -11 + -2y Reorder the terms: 24 + 2y = -11 + 9y + -2y Combine like terms: 9y + -2y = 7y 24 + 2y = -11 + 7y Solving 24 + 2y = -11 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 24 + 2y + -7y = -11 + 7y + -7y Combine like terms: 2y + -7y = -5y 24 + -5y = -11 + 7y + -7y Combine like terms: 7y + -7y = 0 24 + -5y = -11 + 0 24 + -5y = -11 Add '-24' to each side of the equation. 24 + -24 + -5y = -11 + -24 Combine like terms: 24 + -24 = 0 0 + -5y = -11 + -24 -5y = -11 + -24 Combine like terms: -11 + -24 = -35 -5y = -35 Divide each side by '-5'. y = 7 Simplifying y = 7
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