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Simplifying 41 + 6y + -10 = 17y + -14 + -2y Reorder the terms: 41 + -10 + 6y = 17y + -14 + -2y Combine like terms: 41 + -10 = 31 31 + 6y = 17y + -14 + -2y Reorder the terms: 31 + 6y = -14 + 17y + -2y Combine like terms: 17y + -2y = 15y 31 + 6y = -14 + 15y Solving 31 + 6y = -14 + 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. 31 + 6y + -15y = -14 + 15y + -15y Combine like terms: 6y + -15y = -9y 31 + -9y = -14 + 15y + -15y Combine like terms: 15y + -15y = 0 31 + -9y = -14 + 0 31 + -9y = -14 Add '-31' to each side of the equation. 31 + -31 + -9y = -14 + -31 Combine like terms: 31 + -31 = 0 0 + -9y = -14 + -31 -9y = -14 + -31 Combine like terms: -14 + -31 = -45 -9y = -45 Divide each side by '-9'. y = 5 Simplifying y = 5
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