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Simplifying -4(-3x + -1y) = 6(y + 4x) (-3x * -4 + -1y * -4) = 6(y + 4x) (12x + 4y) = 6(y + 4x) Reorder the terms: 12x + 4y = 6(4x + y) 12x + 4y = (4x * 6 + y * 6) 12x + 4y = (24x + 6y) Solving 12x + 4y = 24x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 12x + -24x + 4y = 24x + -24x + 6y Combine like terms: 12x + -24x = -12x -12x + 4y = 24x + -24x + 6y Combine like terms: 24x + -24x = 0 -12x + 4y = 0 + 6y -12x + 4y = 6y Add '-4y' to each side of the equation. -12x + 4y + -4y = 6y + -4y Combine like terms: 4y + -4y = 0 -12x + 0 = 6y + -4y -12x = 6y + -4y Combine like terms: 6y + -4y = 2y -12x = 2y Divide each side by '-12'. x = -0.1666666667y Simplifying x = -0.1666666667y
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