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Simplifying 6x + -1y = 2x + -3y Solving 6x + -1y = 2x + -3y 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. 6x + -2x + -1y = 2x + -2x + -3y Combine like terms: 6x + -2x = 4x 4x + -1y = 2x + -2x + -3y Combine like terms: 2x + -2x = 0 4x + -1y = 0 + -3y 4x + -1y = -3y Add 'y' to each side of the equation. 4x + -1y + y = -3y + y Combine like terms: -1y + y = 0 4x + 0 = -3y + y 4x = -3y + y Combine like terms: -3y + y = -2y 4x = -2y Divide each side by '4'. x = -0.5y Simplifying x = -0.5y
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