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Simplifying 0.5(4y + -6x) = 0 Reorder the terms: 0.5(-6x + 4y) = 0 (-6x * 0.5 + 4y * 0.5) = 0 (-3x + 2y) = 0 Solving -3x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -3x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -3x + 0 = 0 + -2y -3x = 0 + -2y Remove the zero: -3x = -2y Divide each side by '-3'. x = 0.6666666667y Simplifying x = 0.6666666667y
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