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Simplifying 4(-9y + -3u) = 3(-5u + -13) Reorder the terms: 4(-3u + -9y) = 3(-5u + -13) (-3u * 4 + -9y * 4) = 3(-5u + -13) (-12u + -36y) = 3(-5u + -13) Reorder the terms: -12u + -36y = 3(-13 + -5u) -12u + -36y = (-13 * 3 + -5u * 3) -12u + -36y = (-39 + -15u) Solving -12u + -36y = -39 + -15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '15u' to each side of the equation. -12u + 15u + -36y = -39 + -15u + 15u Combine like terms: -12u + 15u = 3u 3u + -36y = -39 + -15u + 15u Combine like terms: -15u + 15u = 0 3u + -36y = -39 + 0 3u + -36y = -39 Add '36y' to each side of the equation. 3u + -36y + 36y = -39 + 36y Combine like terms: -36y + 36y = 0 3u + 0 = -39 + 36y 3u = -39 + 36y Divide each side by '3'. u = -13 + 12y Simplifying u = -13 + 12y
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