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Simplifying 42 + 6y + -8 = 17y + -11 + -2y Reorder the terms: 42 + -8 + 6y = 17y + -11 + -2y Combine like terms: 42 + -8 = 34 34 + 6y = 17y + -11 + -2y Reorder the terms: 34 + 6y = -11 + 17y + -2y Combine like terms: 17y + -2y = 15y 34 + 6y = -11 + 15y Solving 34 + 6y = -11 + 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. 34 + 6y + -15y = -11 + 15y + -15y Combine like terms: 6y + -15y = -9y 34 + -9y = -11 + 15y + -15y Combine like terms: 15y + -15y = 0 34 + -9y = -11 + 0 34 + -9y = -11 Add '-34' to each side of the equation. 34 + -34 + -9y = -11 + -34 Combine like terms: 34 + -34 = 0 0 + -9y = -11 + -34 -9y = -11 + -34 Combine like terms: -11 + -34 = -45 -9y = -45 Divide each side by '-9'. y = 5 Simplifying y = 5
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