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Simplifying 5y + 13 = 31 + -4y Reorder the terms: 13 + 5y = 31 + -4y Solving 13 + 5y = 31 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 13 + 5y + 4y = 31 + -4y + 4y Combine like terms: 5y + 4y = 9y 13 + 9y = 31 + -4y + 4y Combine like terms: -4y + 4y = 0 13 + 9y = 31 + 0 13 + 9y = 31 Add '-13' to each side of the equation. 13 + -13 + 9y = 31 + -13 Combine like terms: 13 + -13 = 0 0 + 9y = 31 + -13 9y = 31 + -13 Combine like terms: 31 + -13 = 18 9y = 18 Divide each side by '9'. y = 2 Simplifying y = 2
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