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Simplifying 46 + 5y + -20 = 15y + -14 + -2y Reorder the terms: 46 + -20 + 5y = 15y + -14 + -2y Combine like terms: 46 + -20 = 26 26 + 5y = 15y + -14 + -2y Reorder the terms: 26 + 5y = -14 + 15y + -2y Combine like terms: 15y + -2y = 13y 26 + 5y = -14 + 13y Solving 26 + 5y = -14 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 26 + 5y + -13y = -14 + 13y + -13y Combine like terms: 5y + -13y = -8y 26 + -8y = -14 + 13y + -13y Combine like terms: 13y + -13y = 0 26 + -8y = -14 + 0 26 + -8y = -14 Add '-26' to each side of the equation. 26 + -26 + -8y = -14 + -26 Combine like terms: 26 + -26 = 0 0 + -8y = -14 + -26 -8y = -14 + -26 Combine like terms: -14 + -26 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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