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Simplifying -8y + 1 = 31 + -13y Reorder the terms: 1 + -8y = 31 + -13y Solving 1 + -8y = 31 + -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. 1 + -8y + 13y = 31 + -13y + 13y Combine like terms: -8y + 13y = 5y 1 + 5y = 31 + -13y + 13y Combine like terms: -13y + 13y = 0 1 + 5y = 31 + 0 1 + 5y = 31 Add '-1' to each side of the equation. 1 + -1 + 5y = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 5y = 31 + -1 5y = 31 + -1 Combine like terms: 31 + -1 = 30 5y = 30 Divide each side by '5'. y = 6 Simplifying y = 6
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