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Simplifying -5 + -1(15y + -1) + -12u = 11(2u + -6) Reorder the terms: -5 + -1(-1 + 15y) + -12u = 11(2u + -6) -5 + (-1 * -1 + 15y * -1) + -12u = 11(2u + -6) -5 + (1 + -15y) + -12u = 11(2u + -6) Reorder the terms: -5 + 1 + -12u + -15y = 11(2u + -6) Combine like terms: -5 + 1 = -4 -4 + -12u + -15y = 11(2u + -6) Reorder the terms: -4 + -12u + -15y = 11(-6 + 2u) -4 + -12u + -15y = (-6 * 11 + 2u * 11) -4 + -12u + -15y = (-66 + 22u) Solving -4 + -12u + -15y = -66 + 22u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22u' to each side of the equation. -4 + -12u + -22u + -15y = -66 + 22u + -22u Combine like terms: -12u + -22u = -34u -4 + -34u + -15y = -66 + 22u + -22u Combine like terms: 22u + -22u = 0 -4 + -34u + -15y = -66 + 0 -4 + -34u + -15y = -66 Add '4' to each side of the equation. -4 + -34u + 4 + -15y = -66 + 4 Reorder the terms: -4 + 4 + -34u + -15y = -66 + 4 Combine like terms: -4 + 4 = 0 0 + -34u + -15y = -66 + 4 -34u + -15y = -66 + 4 Combine like terms: -66 + 4 = -62 -34u + -15y = -62 Add '15y' to each side of the equation. -34u + -15y + 15y = -62 + 15y Combine like terms: -15y + 15y = 0 -34u + 0 = -62 + 15y -34u = -62 + 15y Divide each side by '-34'. u = 1.823529412 + -0.4411764706y Simplifying u = 1.823529412 + -0.4411764706y
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