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Simplifying -1(4u + -1y) + 5(-5y + 4u) = 0 (4u * -1 + -1y * -1) + 5(-5y + 4u) = 0 (-4u + 1y) + 5(-5y + 4u) = 0 Reorder the terms: -4u + 1y + 5(4u + -5y) = 0 -4u + 1y + (4u * 5 + -5y * 5) = 0 -4u + 1y + (20u + -25y) = 0 Reorder the terms: -4u + 20u + 1y + -25y = 0 Combine like terms: -4u + 20u = 16u 16u + 1y + -25y = 0 Combine like terms: 1y + -25y = -24y 16u + -24y = 0 Solving 16u + -24y = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '24y' to each side of the equation. 16u + -24y + 24y = 0 + 24y Combine like terms: -24y + 24y = 0 16u + 0 = 0 + 24y 16u = 0 + 24y Remove the zero: 16u = 24y Divide each side by '16'. u = 1.5y Simplifying u = 1.5y
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