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Simplifying -3(4y + u) + 4(6u + 5y) = 0 Reorder the terms: -3(u + 4y) + 4(6u + 5y) = 0 (u * -3 + 4y * -3) + 4(6u + 5y) = 0 (-3u + -12y) + 4(6u + 5y) = 0 -3u + -12y + (6u * 4 + 5y * 4) = 0 -3u + -12y + (24u + 20y) = 0 Reorder the terms: -3u + 24u + -12y + 20y = 0 Combine like terms: -3u + 24u = 21u 21u + -12y + 20y = 0 Combine like terms: -12y + 20y = 8y 21u + 8y = 0 Solving 21u + 8y = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8y' to each side of the equation. 21u + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 21u + 0 = 0 + -8y 21u = 0 + -8y Remove the zero: 21u = -8y Divide each side by '21'. u = -0.380952381y Simplifying u = -0.380952381y
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