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Simplifying 3(y + 3) + u = 2(u + -1) + 3 Reorder the terms: 3(3 + y) + u = 2(u + -1) + 3 (3 * 3 + y * 3) + u = 2(u + -1) + 3 (9 + 3y) + u = 2(u + -1) + 3 Reorder the terms: 9 + u + 3y = 2(u + -1) + 3 Reorder the terms: 9 + u + 3y = 2(-1 + u) + 3 9 + u + 3y = (-1 * 2 + u * 2) + 3 9 + u + 3y = (-2 + 2u) + 3 Reorder the terms: 9 + u + 3y = -2 + 3 + 2u Combine like terms: -2 + 3 = 1 9 + u + 3y = 1 + 2u Solving 9 + u + 3y = 1 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 9 + u + -2u + 3y = 1 + 2u + -2u Combine like terms: u + -2u = -1u 9 + -1u + 3y = 1 + 2u + -2u Combine like terms: 2u + -2u = 0 9 + -1u + 3y = 1 + 0 9 + -1u + 3y = 1 Add '-9' to each side of the equation. 9 + -1u + -9 + 3y = 1 + -9 Reorder the terms: 9 + -9 + -1u + 3y = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -1u + 3y = 1 + -9 -1u + 3y = 1 + -9 Combine like terms: 1 + -9 = -8 -1u + 3y = -8 Add '-3y' to each side of the equation. -1u + 3y + -3y = -8 + -3y Combine like terms: 3y + -3y = 0 -1u + 0 = -8 + -3y -1u = -8 + -3y Divide each side by '-1'. u = 8 + 3y Simplifying u = 8 + 3y
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