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Simplifying (6y + -1u + -5) = (3y + 7u) Reorder the terms: (-5 + -1u + 6y) = (3y + 7u) Remove parenthesis around (-5 + -1u + 6y) -5 + -1u + 6y = (3y + 7u) Reorder the terms: -5 + -1u + 6y = (7u + 3y) Remove parenthesis around (7u + 3y) -5 + -1u + 6y = 7u + 3y Solving -5 + -1u + 6y = 7u + 3y Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -5 + -1u + -7u + 6y = 7u + -7u + 3y Combine like terms: -1u + -7u = -8u -5 + -8u + 6y = 7u + -7u + 3y Combine like terms: 7u + -7u = 0 -5 + -8u + 6y = 0 + 3y -5 + -8u + 6y = 3y Add '5' to each side of the equation. -5 + -8u + 5 + 6y = 5 + 3y Reorder the terms: -5 + 5 + -8u + 6y = 5 + 3y Combine like terms: -5 + 5 = 0 0 + -8u + 6y = 5 + 3y -8u + 6y = 5 + 3y Add '-6y' to each side of the equation. -8u + 6y + -6y = 5 + 3y + -6y Combine like terms: 6y + -6y = 0 -8u + 0 = 5 + 3y + -6y -8u = 5 + 3y + -6y Combine like terms: 3y + -6y = -3y -8u = 5 + -3y Divide each side by '-8'. u = -0.625 + 0.375y Simplifying u = -0.625 + 0.375y
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