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Simplifying 37 + 3y + -13 = 13y + -11 + -5y Reorder the terms: 37 + -13 + 3y = 13y + -11 + -5y Combine like terms: 37 + -13 = 24 24 + 3y = 13y + -11 + -5y Reorder the terms: 24 + 3y = -11 + 13y + -5y Combine like terms: 13y + -5y = 8y 24 + 3y = -11 + 8y Solving 24 + 3y = -11 + 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. 24 + 3y + -8y = -11 + 8y + -8y Combine like terms: 3y + -8y = -5y 24 + -5y = -11 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + -5y = -11 + 0 24 + -5y = -11 Add '-24' to each side of the equation. 24 + -24 + -5y = -11 + -24 Combine like terms: 24 + -24 = 0 0 + -5y = -11 + -24 -5y = -11 + -24 Combine like terms: -11 + -24 = -35 -5y = -35 Divide each side by '-5'. y = 7 Simplifying y = 7
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