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Simplifying u + 9 + 7y + u + -4y + 2(6y + 3) = 0 Reorder the terms: u + 9 + 7y + u + -4y + 2(3 + 6y) = 0 u + 9 + 7y + u + -4y + (3 * 2 + 6y * 2) = 0 u + 9 + 7y + u + -4y + (6 + 12y) = 0 Reorder the terms: 9 + 6 + u + u + 7y + -4y + 12y = 0 Combine like terms: 9 + 6 = 15 15 + u + u + 7y + -4y + 12y = 0 Combine like terms: u + u = 2u 15 + 2u + 7y + -4y + 12y = 0 Combine like terms: 7y + -4y = 3y 15 + 2u + 3y + 12y = 0 Combine like terms: 3y + 12y = 15y 15 + 2u + 15y = 0 Solving 15 + 2u + 15y = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 2u + -15 + 15y = 0 + -15 Reorder the terms: 15 + -15 + 2u + 15y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2u + 15y = 0 + -15 2u + 15y = 0 + -15 Combine like terms: 0 + -15 = -15 2u + 15y = -15 Add '-15y' to each side of the equation. 2u + 15y + -15y = -15 + -15y Combine like terms: 15y + -15y = 0 2u + 0 = -15 + -15y 2u = -15 + -15y Divide each side by '2'. u = -7.5 + -7.5y Simplifying u = -7.5 + -7.5y
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