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Simplifying -2(2u + -1y) + 5(4y + 2u) = 0 (2u * -2 + -1y * -2) + 5(4y + 2u) = 0 (-4u + 2y) + 5(4y + 2u) = 0 Reorder the terms: -4u + 2y + 5(2u + 4y) = 0 -4u + 2y + (2u * 5 + 4y * 5) = 0 -4u + 2y + (10u + 20y) = 0 Reorder the terms: -4u + 10u + 2y + 20y = 0 Combine like terms: -4u + 10u = 6u 6u + 2y + 20y = 0 Combine like terms: 2y + 20y = 22y 6u + 22y = 0 Solving 6u + 22y = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22y' to each side of the equation. 6u + 22y + -22y = 0 + -22y Combine like terms: 22y + -22y = 0 6u + 0 = 0 + -22y 6u = 0 + -22y Remove the zero: 6u = -22y Divide each side by '6'. u = -3.666666667y Simplifying u = -3.666666667y
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