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Simplifying 31 = -5y + 8(y + 5) Reorder the terms: 31 = -5y + 8(5 + y) 31 = -5y + (5 * 8 + y * 8) 31 = -5y + (40 + 8y) Reorder the terms: 31 = 40 + -5y + 8y Combine like terms: -5y + 8y = 3y 31 = 40 + 3y Solving 31 = 40 + 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 = 40 + 3y + -3y Combine like terms: 3y + -3y = 0 31 + -3y = 40 + 0 31 + -3y = 40 Add '-31' to each side of the equation. 31 + -31 + -3y = 40 + -31 Combine like terms: 31 + -31 = 0 0 + -3y = 40 + -31 -3y = 40 + -31 Combine like terms: 40 + -31 = 9 -3y = 9 Divide each side by '-3'. y = -3 Simplifying y = -3
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