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Simplifying -2(4y + u) + 6(5u + -6y) = 0 Reorder the terms: -2(u + 4y) + 6(5u + -6y) = 0 (u * -2 + 4y * -2) + 6(5u + -6y) = 0 (-2u + -8y) + 6(5u + -6y) = 0 -2u + -8y + (5u * 6 + -6y * 6) = 0 -2u + -8y + (30u + -36y) = 0 Reorder the terms: -2u + 30u + -8y + -36y = 0 Combine like terms: -2u + 30u = 28u 28u + -8y + -36y = 0 Combine like terms: -8y + -36y = -44y 28u + -44y = 0 Solving 28u + -44y = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '44y' to each side of the equation. 28u + -44y + 44y = 0 + 44y Combine like terms: -44y + 44y = 0 28u + 0 = 0 + 44y 28u = 0 + 44y Remove the zero: 28u = 44y Divide each side by '28'. u = 1.571428571y Simplifying u = 1.571428571y
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