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Simplifying 3x + y = 4x + -2y Solving 3x + y = 4x + -2y 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. 3x + -4x + y = 4x + -4x + -2y Combine like terms: 3x + -4x = -1x -1x + y = 4x + -4x + -2y Combine like terms: 4x + -4x = 0 -1x + y = 0 + -2y -1x + y = -2y Add '-1y' to each side of the equation. -1x + y + -1y = -2y + -1y Combine like terms: y + -1y = 0 -1x + 0 = -2y + -1y -1x = -2y + -1y Combine like terms: -2y + -1y = -3y -1x = -3y Divide each side by '-1'. x = 3y Simplifying x = 3y
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