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