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Simplifying -4(3u + -1y) + 6(-1y + 3u) = 0 (3u * -4 + -1y * -4) + 6(-1y + 3u) = 0 (-12u + 4y) + 6(-1y + 3u) = 0 Reorder the terms: -12u + 4y + 6(3u + -1y) = 0 -12u + 4y + (3u * 6 + -1y * 6) = 0 -12u + 4y + (18u + -6y) = 0 Reorder the terms: -12u + 18u + 4y + -6y = 0 Combine like terms: -12u + 18u = 6u 6u + 4y + -6y = 0 Combine like terms: 4y + -6y = -2y 6u + -2y = 0 Solving 6u + -2y = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2y' to each side of the equation. 6u + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 6u + 0 = 0 + 2y 6u = 0 + 2y Remove the zero: 6u = 2y Divide each side by '6'. u = 0.3333333333y Simplifying u = 0.3333333333y
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