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Simplifying 31 + 6y + -13 = 17y + -9 + -2y Reorder the terms: 31 + -13 + 6y = 17y + -9 + -2y Combine like terms: 31 + -13 = 18 18 + 6y = 17y + -9 + -2y Reorder the terms: 18 + 6y = -9 + 17y + -2y Combine like terms: 17y + -2y = 15y 18 + 6y = -9 + 15y Solving 18 + 6y = -9 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 18 + 6y + -15y = -9 + 15y + -15y Combine like terms: 6y + -15y = -9y 18 + -9y = -9 + 15y + -15y Combine like terms: 15y + -15y = 0 18 + -9y = -9 + 0 18 + -9y = -9 Add '-18' to each side of the equation. 18 + -18 + -9y = -9 + -18 Combine like terms: 18 + -18 = 0 0 + -9y = -9 + -18 -9y = -9 + -18 Combine like terms: -9 + -18 = -27 -9y = -27 Divide each side by '-9'. y = 3 Simplifying y = 3
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