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Simplifying 38 + 5y + -11 = 16y + -9 + -2y Reorder the terms: 38 + -11 + 5y = 16y + -9 + -2y Combine like terms: 38 + -11 = 27 27 + 5y = 16y + -9 + -2y Reorder the terms: 27 + 5y = -9 + 16y + -2y Combine like terms: 16y + -2y = 14y 27 + 5y = -9 + 14y Solving 27 + 5y = -9 + 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. 27 + 5y + -14y = -9 + 14y + -14y Combine like terms: 5y + -14y = -9y 27 + -9y = -9 + 14y + -14y Combine like terms: 14y + -14y = 0 27 + -9y = -9 + 0 27 + -9y = -9 Add '-27' to each side of the equation. 27 + -27 + -9y = -9 + -27 Combine like terms: 27 + -27 = 0 0 + -9y = -9 + -27 -9y = -9 + -27 Combine like terms: -9 + -27 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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