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