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Simplifying -3(y + -4) = 2(3x + -9) Reorder the terms: -3(-4 + y) = 2(3x + -9) (-4 * -3 + y * -3) = 2(3x + -9) (12 + -3y) = 2(3x + -9) Reorder the terms: 12 + -3y = 2(-9 + 3x) 12 + -3y = (-9 * 2 + 3x * 2) 12 + -3y = (-18 + 6x) Solving 12 + -3y = -18 + 6x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3y = -18 + -12 + 6x Combine like terms: 12 + -12 = 0 0 + -3y = -18 + -12 + 6x -3y = -18 + -12 + 6x Combine like terms: -18 + -12 = -30 -3y = -30 + 6x Divide each side by '-3'. y = 10 + -2x Simplifying y = 10 + -2x
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