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Simplifying 42 + 5y + -17 = 16y + -11 + -2y Reorder the terms: 42 + -17 + 5y = 16y + -11 + -2y Combine like terms: 42 + -17 = 25 25 + 5y = 16y + -11 + -2y Reorder the terms: 25 + 5y = -11 + 16y + -2y Combine like terms: 16y + -2y = 14y 25 + 5y = -11 + 14y Solving 25 + 5y = -11 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 25 + 5y + -14y = -11 + 14y + -14y Combine like terms: 5y + -14y = -9y 25 + -9y = -11 + 14y + -14y Combine like terms: 14y + -14y = 0 25 + -9y = -11 + 0 25 + -9y = -11 Add '-25' to each side of the equation. 25 + -25 + -9y = -11 + -25 Combine like terms: 25 + -25 = 0 0 + -9y = -11 + -25 -9y = -11 + -25 Combine like terms: -11 + -25 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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