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Simplifying 31 + 3y + -10 = 13y + -14 + -5y Reorder the terms: 31 + -10 + 3y = 13y + -14 + -5y Combine like terms: 31 + -10 = 21 21 + 3y = 13y + -14 + -5y Reorder the terms: 21 + 3y = -14 + 13y + -5y Combine like terms: 13y + -5y = 8y 21 + 3y = -14 + 8y Solving 21 + 3y = -14 + 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. 21 + 3y + -8y = -14 + 8y + -8y Combine like terms: 3y + -8y = -5y 21 + -5y = -14 + 8y + -8y Combine like terms: 8y + -8y = 0 21 + -5y = -14 + 0 21 + -5y = -14 Add '-21' to each side of the equation. 21 + -21 + -5y = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -5y = -14 + -21 -5y = -14 + -21 Combine like terms: -14 + -21 = -35 -5y = -35 Divide each side by '-5'. y = 7 Simplifying y = 7
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