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Simplifying -3(4 + -5y) = 6y + 24 (4 * -3 + -5y * -3) = 6y + 24 (-12 + 15y) = 6y + 24 Reorder the terms: -12 + 15y = 24 + 6y Solving -12 + 15y = 24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -12 + 15y + -6y = 24 + 6y + -6y Combine like terms: 15y + -6y = 9y -12 + 9y = 24 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + 9y = 24 + 0 -12 + 9y = 24 Add '12' to each side of the equation. -12 + 12 + 9y = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 9y = 24 + 12 9y = 24 + 12 Combine like terms: 24 + 12 = 36 9y = 36 Divide each side by '9'. y = 4 Simplifying y = 4
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