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Simplifying 32 + 6y + -6 = 17y + -10 + -2y Reorder the terms: 32 + -6 + 6y = 17y + -10 + -2y Combine like terms: 32 + -6 = 26 26 + 6y = 17y + -10 + -2y Reorder the terms: 26 + 6y = -10 + 17y + -2y Combine like terms: 17y + -2y = 15y 26 + 6y = -10 + 15y Solving 26 + 6y = -10 + 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. 26 + 6y + -15y = -10 + 15y + -15y Combine like terms: 6y + -15y = -9y 26 + -9y = -10 + 15y + -15y Combine like terms: 15y + -15y = 0 26 + -9y = -10 + 0 26 + -9y = -10 Add '-26' to each side of the equation. 26 + -26 + -9y = -10 + -26 Combine like terms: 26 + -26 = 0 0 + -9y = -10 + -26 -9y = -10 + -26 Combine like terms: -10 + -26 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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