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Simplifying 6x + 2y = y + -2x Reorder the terms: 6x + 2y = -2x + y Solving 6x + 2y = -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. 6x + 2x + 2y = -2x + 2x + y Combine like terms: 6x + 2x = 8x 8x + 2y = -2x + 2x + y Combine like terms: -2x + 2x = 0 8x + 2y = 0 + y 8x + 2y = y Add '-2y' to each side of the equation. 8x + 2y + -2y = y + -2y Combine like terms: 2y + -2y = 0 8x + 0 = y + -2y 8x = y + -2y Combine like terms: y + -2y = -1y 8x = -1y Divide each side by '8'. x = -0.125y Simplifying x = -0.125y
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