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Simplifying 8(4u + -1) + -12u = 11(2u + -16) + -1y Reorder the terms: 8(-1 + 4u) + -12u = 11(2u + -16) + -1y (-1 * 8 + 4u * 8) + -12u = 11(2u + -16) + -1y (-8 + 32u) + -12u = 11(2u + -16) + -1y Combine like terms: 32u + -12u = 20u -8 + 20u = 11(2u + -16) + -1y Reorder the terms: -8 + 20u = 11(-16 + 2u) + -1y -8 + 20u = (-16 * 11 + 2u * 11) + -1y -8 + 20u = (-176 + 22u) + -1y Solving -8 + 20u = -176 + 22u + -1y 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. -8 + 20u + -22u = -176 + 22u + -22u + -1y Combine like terms: 20u + -22u = -2u -8 + -2u = -176 + 22u + -22u + -1y Combine like terms: 22u + -22u = 0 -8 + -2u = -176 + 0 + -1y -8 + -2u = -176 + -1y Add '8' to each side of the equation. -8 + 8 + -2u = -176 + 8 + -1y Combine like terms: -8 + 8 = 0 0 + -2u = -176 + 8 + -1y -2u = -176 + 8 + -1y Combine like terms: -176 + 8 = -168 -2u = -168 + -1y Divide each side by '-2'. u = 84 + 0.5y Simplifying u = 84 + 0.5y
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