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Simplifying -3(-4y + u) + -5(-6u + -6y) = 0 Reorder the terms: -3(u + -4y) + -5(-6u + -6y) = 0 (u * -3 + -4y * -3) + -5(-6u + -6y) = 0 (-3u + 12y) + -5(-6u + -6y) = 0 -3u + 12y + (-6u * -5 + -6y * -5) = 0 -3u + 12y + (30u + 30y) = 0 Reorder the terms: -3u + 30u + 12y + 30y = 0 Combine like terms: -3u + 30u = 27u 27u + 12y + 30y = 0 Combine like terms: 12y + 30y = 42y 27u + 42y = 0 Solving 27u + 42y = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-42y' to each side of the equation. 27u + 42y + -42y = 0 + -42y Combine like terms: 42y + -42y = 0 27u + 0 = 0 + -42y 27u = 0 + -42y Remove the zero: 27u = -42y Divide each side by '27'. u = -1.555555556y Simplifying u = -1.555555556y
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