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Simplifying 5(2y + -3) = 24 + -3y Reorder the terms: 5(-3 + 2y) = 24 + -3y (-3 * 5 + 2y * 5) = 24 + -3y (-15 + 10y) = 24 + -3y Solving -15 + 10y = 24 + -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. -15 + 10y + 3y = 24 + -3y + 3y Combine like terms: 10y + 3y = 13y -15 + 13y = 24 + -3y + 3y Combine like terms: -3y + 3y = 0 -15 + 13y = 24 + 0 -15 + 13y = 24 Add '15' to each side of the equation. -15 + 15 + 13y = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 13y = 24 + 15 13y = 24 + 15 Combine like terms: 24 + 15 = 39 13y = 39 Divide each side by '13'. y = 3 Simplifying y = 3
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