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Simplifying -4(24y + -144) = 18(24y + 120) Reorder the terms: -4(-144 + 24y) = 18(24y + 120) (-144 * -4 + 24y * -4) = 18(24y + 120) (576 + -96y) = 18(24y + 120) Reorder the terms: 576 + -96y = 18(120 + 24y) 576 + -96y = (120 * 18 + 24y * 18) 576 + -96y = (2160 + 432y) Solving 576 + -96y = 2160 + 432y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-432y' to each side of the equation. 576 + -96y + -432y = 2160 + 432y + -432y Combine like terms: -96y + -432y = -528y 576 + -528y = 2160 + 432y + -432y Combine like terms: 432y + -432y = 0 576 + -528y = 2160 + 0 576 + -528y = 2160 Add '-576' to each side of the equation. 576 + -576 + -528y = 2160 + -576 Combine like terms: 576 + -576 = 0 0 + -528y = 2160 + -576 -528y = 2160 + -576 Combine like terms: 2160 + -576 = 1584 -528y = 1584 Divide each side by '-528'. y = -3 Simplifying y = -3
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