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Simplifying 5(4 + -7u) + y = -1u + -48 (4 * 5 + -7u * 5) + y = -1u + -48 (20 + -35u) + y = -1u + -48 Reorder the terms: 20 + -35u + y = -48 + -1u Solving 20 + -35u + y = -48 + -1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add 'u' to each side of the equation. 20 + -35u + u + y = -48 + -1u + u Combine like terms: -35u + u = -34u 20 + -34u + y = -48 + -1u + u Combine like terms: -1u + u = 0 20 + -34u + y = -48 + 0 20 + -34u + y = -48 Add '-20' to each side of the equation. 20 + -34u + -20 + y = -48 + -20 Reorder the terms: 20 + -20 + -34u + y = -48 + -20 Combine like terms: 20 + -20 = 0 0 + -34u + y = -48 + -20 -34u + y = -48 + -20 Combine like terms: -48 + -20 = -68 -34u + y = -68 Add '-1y' to each side of the equation. -34u + y + -1y = -68 + -1y Combine like terms: y + -1y = 0 -34u + 0 = -68 + -1y -34u = -68 + -1y Divide each side by '-34'. u = 2 + 0.02941176471y Simplifying u = 2 + 0.02941176471y
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