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Simplifying -1(-4u + -1y) + 2(3y + 2u) = 0 (-4u * -1 + -1y * -1) + 2(3y + 2u) = 0 (4u + 1y) + 2(3y + 2u) = 0 Reorder the terms: 4u + 1y + 2(2u + 3y) = 0 4u + 1y + (2u * 2 + 3y * 2) = 0 4u + 1y + (4u + 6y) = 0 Reorder the terms: 4u + 4u + 1y + 6y = 0 Combine like terms: 4u + 4u = 8u 8u + 1y + 6y = 0 Combine like terms: 1y + 6y = 7y 8u + 7y = 0 Solving 8u + 7y = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7y' to each side of the equation. 8u + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 8u + 0 = 0 + -7y 8u = 0 + -7y Remove the zero: 8u = -7y Divide each side by '8'. u = -0.875y Simplifying u = -0.875y
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