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Simplifying -38 + -14y + 12 = -34y + 79 + 13y Reorder the terms: -38 + 12 + -14y = -34y + 79 + 13y Combine like terms: -38 + 12 = -26 -26 + -14y = -34y + 79 + 13y Reorder the terms: -26 + -14y = 79 + -34y + 13y Combine like terms: -34y + 13y = -21y -26 + -14y = 79 + -21y Solving -26 + -14y = 79 + -21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21y' to each side of the equation. -26 + -14y + 21y = 79 + -21y + 21y Combine like terms: -14y + 21y = 7y -26 + 7y = 79 + -21y + 21y Combine like terms: -21y + 21y = 0 -26 + 7y = 79 + 0 -26 + 7y = 79 Add '26' to each side of the equation. -26 + 26 + 7y = 79 + 26 Combine like terms: -26 + 26 = 0 0 + 7y = 79 + 26 7y = 79 + 26 Combine like terms: 79 + 26 = 105 7y = 105 Divide each side by '7'. y = 15 Simplifying y = 15
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