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Simplifying 38 + 2y + -15 = 9y + -12 + -2y Reorder the terms: 38 + -15 + 2y = 9y + -12 + -2y Combine like terms: 38 + -15 = 23 23 + 2y = 9y + -12 + -2y Reorder the terms: 23 + 2y = -12 + 9y + -2y Combine like terms: 9y + -2y = 7y 23 + 2y = -12 + 7y Solving 23 + 2y = -12 + 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. 23 + 2y + -7y = -12 + 7y + -7y Combine like terms: 2y + -7y = -5y 23 + -5y = -12 + 7y + -7y Combine like terms: 7y + -7y = 0 23 + -5y = -12 + 0 23 + -5y = -12 Add '-23' to each side of the equation. 23 + -23 + -5y = -12 + -23 Combine like terms: 23 + -23 = 0 0 + -5y = -12 + -23 -5y = -12 + -23 Combine like terms: -12 + -23 = -35 -5y = -35 Divide each side by '-5'. y = 7 Simplifying y = 7
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