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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 = 11y 31 + 11y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 31 + 11y = 9 + 0 31 + 11y = 9 Add '-31' to each side of the equation. 31 + -31 + 11y = 9 + -31 Combine like terms: 31 + -31 = 0 0 + 11y = 9 + -31 11y = 9 + -31 Combine like terms: 9 + -31 = -22 11y = -22 Divide each side by '11'. y = -2 Simplifying y = -2
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