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Simplifying 41 + 6y + -17 = 17y + -12 + -2y Reorder the terms: 41 + -17 + 6y = 17y + -12 + -2y Combine like terms: 41 + -17 = 24 24 + 6y = 17y + -12 + -2y Reorder the terms: 24 + 6y = -12 + 17y + -2y Combine like terms: 17y + -2y = 15y 24 + 6y = -12 + 15y Solving 24 + 6y = -12 + 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. 24 + 6y + -15y = -12 + 15y + -15y Combine like terms: 6y + -15y = -9y 24 + -9y = -12 + 15y + -15y Combine like terms: 15y + -15y = 0 24 + -9y = -12 + 0 24 + -9y = -12 Add '-24' to each side of the equation. 24 + -24 + -9y = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -9y = -12 + -24 -9y = -12 + -24 Combine like terms: -12 + -24 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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