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Simplifying 6y + 2x = y + -8x Reorder the terms: 2x + 6y = y + -8x Reorder the terms: 2x + 6y = -8x + y Solving 2x + 6y = -8x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 2x + 8x + 6y = -8x + 8x + y Combine like terms: 2x + 8x = 10x 10x + 6y = -8x + 8x + y Combine like terms: -8x + 8x = 0 10x + 6y = 0 + y 10x + 6y = y Add '-6y' to each side of the equation. 10x + 6y + -6y = y + -6y Combine like terms: 6y + -6y = 0 10x + 0 = y + -6y 10x = y + -6y Combine like terms: y + -6y = -5y 10x = -5y Divide each side by '10'. x = -0.5y Simplifying x = -0.5y
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