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Simplifying 8(4u + -1) = 2(7y + -16) + -1y Reorder the terms: 8(-1 + 4u) = 2(7y + -16) + -1y (-1 * 8 + 4u * 8) = 2(7y + -16) + -1y (-8 + 32u) = 2(7y + -16) + -1y Reorder the terms: -8 + 32u = 2(-16 + 7y) + -1y -8 + 32u = (-16 * 2 + 7y * 2) + -1y -8 + 32u = (-32 + 14y) + -1y Combine like terms: 14y + -1y = 13y -8 + 32u = -32 + 13y Solving -8 + 32u = -32 + 13y Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 32u = -32 + 8 + 13y Combine like terms: -8 + 8 = 0 0 + 32u = -32 + 8 + 13y 32u = -32 + 8 + 13y Combine like terms: -32 + 8 = -24 32u = -24 + 13y Divide each side by '32'. u = -0.75 + 0.40625y Simplifying u = -0.75 + 0.40625y
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