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Simplifying 38 + 3y + -13 = 14y + -11 + -5y Reorder the terms: 38 + -13 + 3y = 14y + -11 + -5y Combine like terms: 38 + -13 = 25 25 + 3y = 14y + -11 + -5y Reorder the terms: 25 + 3y = -11 + 14y + -5y Combine like terms: 14y + -5y = 9y 25 + 3y = -11 + 9y Solving 25 + 3y = -11 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 25 + 3y + -9y = -11 + 9y + -9y Combine like terms: 3y + -9y = -6y 25 + -6y = -11 + 9y + -9y Combine like terms: 9y + -9y = 0 25 + -6y = -11 + 0 25 + -6y = -11 Add '-25' to each side of the equation. 25 + -25 + -6y = -11 + -25 Combine like terms: 25 + -25 = 0 0 + -6y = -11 + -25 -6y = -11 + -25 Combine like terms: -11 + -25 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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