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Simplifying y + x + -4y = 3x + 2 Reorder the terms: x + y + -4y = 3x + 2 Combine like terms: y + -4y = -3y x + -3y = 3x + 2 Reorder the terms: x + -3y = 2 + 3x Solving x + -3y = 2 + 3x 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. x + -3x + -3y = 2 + 3x + -3x Combine like terms: x + -3x = -2x -2x + -3y = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -2x + -3y = 2 + 0 -2x + -3y = 2 Add '3y' to each side of the equation. -2x + -3y + 3y = 2 + 3y Combine like terms: -3y + 3y = 0 -2x + 0 = 2 + 3y -2x = 2 + 3y Divide each side by '-2'. x = -1 + -1.5y Simplifying x = -1 + -1.5y
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