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Simplifying 24 + 2y + -7 = 13y + -13 + -5y Reorder the terms: 24 + -7 + 2y = 13y + -13 + -5y Combine like terms: 24 + -7 = 17 17 + 2y = 13y + -13 + -5y Reorder the terms: 17 + 2y = -13 + 13y + -5y Combine like terms: 13y + -5y = 8y 17 + 2y = -13 + 8y Solving 17 + 2y = -13 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 17 + 2y + -8y = -13 + 8y + -8y Combine like terms: 2y + -8y = -6y 17 + -6y = -13 + 8y + -8y Combine like terms: 8y + -8y = 0 17 + -6y = -13 + 0 17 + -6y = -13 Add '-17' to each side of the equation. 17 + -17 + -6y = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -6y = -13 + -17 -6y = -13 + -17 Combine like terms: -13 + -17 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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