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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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