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