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Simplifying -3(24y + -4) = 16(24y + 48) Reorder the terms: -3(-4 + 24y) = 16(24y + 48) (-4 * -3 + 24y * -3) = 16(24y + 48) (12 + -72y) = 16(24y + 48) Reorder the terms: 12 + -72y = 16(48 + 24y) 12 + -72y = (48 * 16 + 24y * 16) 12 + -72y = (768 + 384y) Solving 12 + -72y = 768 + 384y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-384y' to each side of the equation. 12 + -72y + -384y = 768 + 384y + -384y Combine like terms: -72y + -384y = -456y 12 + -456y = 768 + 384y + -384y Combine like terms: 384y + -384y = 0 12 + -456y = 768 + 0 12 + -456y = 768 Add '-12' to each side of the equation. 12 + -12 + -456y = 768 + -12 Combine like terms: 12 + -12 = 0 0 + -456y = 768 + -12 -456y = 768 + -12 Combine like terms: 768 + -12 = 756 -456y = 756 Divide each side by '-456'. y = -1.657894737 Simplifying y = -1.657894737
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