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Simplifying 31 + 2y + -12 = 9y + -11 + -2y Reorder the terms: 31 + -12 + 2y = 9y + -11 + -2y Combine like terms: 31 + -12 = 19 19 + 2y = 9y + -11 + -2y Reorder the terms: 19 + 2y = -11 + 9y + -2y Combine like terms: 9y + -2y = 7y 19 + 2y = -11 + 7y Solving 19 + 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. 19 + 2y + -7y = -11 + 7y + -7y Combine like terms: 2y + -7y = -5y 19 + -5y = -11 + 7y + -7y Combine like terms: 7y + -7y = 0 19 + -5y = -11 + 0 19 + -5y = -11 Add '-19' to each side of the equation. 19 + -19 + -5y = -11 + -19 Combine like terms: 19 + -19 = 0 0 + -5y = -11 + -19 -5y = -11 + -19 Combine like terms: -11 + -19 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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