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Simplifying 2(u + 3v) = 4(y + -5) (u * 2 + 3v * 2) = 4(y + -5) (2u + 6v) = 4(y + -5) Reorder the terms: 2u + 6v = 4(-5 + y) 2u + 6v = (-5 * 4 + y * 4) 2u + 6v = (-20 + 4y) Solving 2u + 6v = -20 + 4y Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6v' to each side of the equation. 2u + 6v + -6v = -20 + -6v + 4y Combine like terms: 6v + -6v = 0 2u + 0 = -20 + -6v + 4y 2u = -20 + -6v + 4y Divide each side by '2'. u = -10 + -3v + 2y Simplifying u = -10 + -3v + 2y
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