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Simplifying 31 = -8y + 5(y + 2) Reorder the terms: 31 = -8y + 5(2 + y) 31 = -8y + (2 * 5 + y * 5) 31 = -8y + (10 + 5y) Reorder the terms: 31 = 10 + -8y + 5y Combine like terms: -8y + 5y = -3y 31 = 10 + -3y Solving 31 = 10 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 31 + 3y = 10 + -3y + 3y Combine like terms: -3y + 3y = 0 31 + 3y = 10 + 0 31 + 3y = 10 Add '-31' to each side of the equation. 31 + -31 + 3y = 10 + -31 Combine like terms: 31 + -31 = 0 0 + 3y = 10 + -31 3y = 10 + -31 Combine like terms: 10 + -31 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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