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Simplifying 12(3y + -4) = -5(2x + -8) Reorder the terms: 12(-4 + 3y) = -5(2x + -8) (-4 * 12 + 3y * 12) = -5(2x + -8) (-48 + 36y) = -5(2x + -8) Reorder the terms: -48 + 36y = -5(-8 + 2x) -48 + 36y = (-8 * -5 + 2x * -5) -48 + 36y = (40 + -10x) Solving -48 + 36y = 40 + -10x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 36y = 40 + 48 + -10x Combine like terms: -48 + 48 = 0 0 + 36y = 40 + 48 + -10x 36y = 40 + 48 + -10x Combine like terms: 40 + 48 = 88 36y = 88 + -10x Divide each side by '36'. y = 2.444444444 + -0.2777777778x Simplifying y = 2.444444444 + -0.2777777778x
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