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Simplifying 5y + 3(y + -8) = 24 Reorder the terms: 5y + 3(-8 + y) = 24 5y + (-8 * 3 + y * 3) = 24 5y + (-24 + 3y) = 24 Reorder the terms: -24 + 5y + 3y = 24 Combine like terms: 5y + 3y = 8y -24 + 8y = 24 Solving -24 + 8y = 24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. 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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