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Simplifying -1(3u + -1y) + 3(-2y + 4u) = 0 (3u * -1 + -1y * -1) + 3(-2y + 4u) = 0 (-3u + 1y) + 3(-2y + 4u) = 0 Reorder the terms: -3u + 1y + 3(4u + -2y) = 0 -3u + 1y + (4u * 3 + -2y * 3) = 0 -3u + 1y + (12u + -6y) = 0 Reorder the terms: -3u + 12u + 1y + -6y = 0 Combine like terms: -3u + 12u = 9u 9u + 1y + -6y = 0 Combine like terms: 1y + -6y = -5y 9u + -5y = 0 Solving 9u + -5y = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5y' to each side of the equation. 9u + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 9u + 0 = 0 + 5y 9u = 0 + 5y Remove the zero: 9u = 5y Divide each side by '9'. u = 0.5555555556y Simplifying u = 0.5555555556y
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