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Simplifying 24 + 3y + -9 = 13y + -13 + -3y Reorder the terms: 24 + -9 + 3y = 13y + -13 + -3y Combine like terms: 24 + -9 = 15 15 + 3y = 13y + -13 + -3y Reorder the terms: 15 + 3y = -13 + 13y + -3y Combine like terms: 13y + -3y = 10y 15 + 3y = -13 + 10y Solving 15 + 3y = -13 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 15 + 3y + -10y = -13 + 10y + -10y Combine like terms: 3y + -10y = -7y 15 + -7y = -13 + 10y + -10y Combine like terms: 10y + -10y = 0 15 + -7y = -13 + 0 15 + -7y = -13 Add '-15' to each side of the equation. 15 + -15 + -7y = -13 + -15 Combine like terms: 15 + -15 = 0 0 + -7y = -13 + -15 -7y = -13 + -15 Combine like terms: -13 + -15 = -28 -7y = -28 Divide each side by '-7'. y = 4 Simplifying y = 4
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