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Simplifying 96(2 + y) = 80(3 + y) (2 * 96 + y * 96) = 80(3 + y) (192 + 96y) = 80(3 + y) 192 + 96y = (3 * 80 + y * 80) 192 + 96y = (240 + 80y) Solving 192 + 96y = 240 + 80y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-80y' to each side of the equation. 192 + 96y + -80y = 240 + 80y + -80y Combine like terms: 96y + -80y = 16y 192 + 16y = 240 + 80y + -80y Combine like terms: 80y + -80y = 0 192 + 16y = 240 + 0 192 + 16y = 240 Add '-192' to each side of the equation. 192 + -192 + 16y = 240 + -192 Combine like terms: 192 + -192 = 0 0 + 16y = 240 + -192 16y = 240 + -192 Combine like terms: 240 + -192 = 48 16y = 48 Divide each side by '16'. y = 3 Simplifying y = 3
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