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Simplifying 24 + 2y + -7 = 12y + -13 + -5y Reorder the terms: 24 + -7 + 2y = 12y + -13 + -5y Combine like terms: 24 + -7 = 17 17 + 2y = 12y + -13 + -5y Reorder the terms: 17 + 2y = -13 + 12y + -5y Combine like terms: 12y + -5y = 7y 17 + 2y = -13 + 7y Solving 17 + 2y = -13 + 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. 17 + 2y + -7y = -13 + 7y + -7y Combine like terms: 2y + -7y = -5y 17 + -5y = -13 + 7y + -7y Combine like terms: 7y + -7y = 0 17 + -5y = -13 + 0 17 + -5y = -13 Add '-17' to each side of the equation. 17 + -17 + -5y = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -5y = -13 + -17 -5y = -13 + -17 Combine like terms: -13 + -17 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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