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Simplifying -3(y + 8) = 5y + 24 Reorder the terms: -3(8 + y) = 5y + 24 (8 * -3 + y * -3) = 5y + 24 (-24 + -3y) = 5y + 24 Reorder the terms: -24 + -3y = 24 + 5y Solving -24 + -3y = 24 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -24 + -3y + -5y = 24 + 5y + -5y Combine like terms: -3y + -5y = -8y -24 + -8y = 24 + 5y + -5y Combine like terms: 5y + -5y = 0 -24 + -8y = 24 + 0 -24 + -8y = 24 Add '24' to each side of the equation. -24 + 24 + -8y = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -8y = 24 + 24 -8y = 24 + 24 Combine like terms: 24 + 24 = 48 -8y = 48 Divide each side by '-8'. y = -6 Simplifying y = -6
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