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