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Simplifying 3y + -2x = 4x + -6y Reorder the terms: -2x + 3y = 4x + -6y Solving -2x + 3y = 4x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2x + -4x + 3y = 4x + -4x + -6y Combine like terms: -2x + -4x = -6x -6x + 3y = 4x + -4x + -6y Combine like terms: 4x + -4x = 0 -6x + 3y = 0 + -6y -6x + 3y = -6y Add '-3y' to each side of the equation. -6x + 3y + -3y = -6y + -3y Combine like terms: 3y + -3y = 0 -6x + 0 = -6y + -3y -6x = -6y + -3y Combine like terms: -6y + -3y = -9y -6x = -9y Divide each side by '-6'. x = 1.5y Simplifying x = 1.5y
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