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Simplifying 4u + 2y = 6(u + 1) Reorder the terms: 4u + 2y = 6(1 + u) 4u + 2y = (1 * 6 + u * 6) 4u + 2y = (6 + 6u) Solving 4u + 2y = 6 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 4u + -6u + 2y = 6 + 6u + -6u Combine like terms: 4u + -6u = -2u -2u + 2y = 6 + 6u + -6u Combine like terms: 6u + -6u = 0 -2u + 2y = 6 + 0 -2u + 2y = 6 Add '-2y' to each side of the equation. -2u + 2y + -2y = 6 + -2y Combine like terms: 2y + -2y = 0 -2u + 0 = 6 + -2y -2u = 6 + -2y Divide each side by '-2'. u = -3 + y Simplifying u = -3 + y
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