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Simplifying 6x + -1y = x + 5y Solving 6x + -1y = x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6x + -1x + -1y = x + -1x + 5y Combine like terms: 6x + -1x = 5x 5x + -1y = x + -1x + 5y Combine like terms: x + -1x = 0 5x + -1y = 0 + 5y 5x + -1y = 5y Add 'y' to each side of the equation. 5x + -1y + y = 5y + y Combine like terms: -1y + y = 0 5x + 0 = 5y + y 5x = 5y + y Combine like terms: 5y + y = 6y 5x = 6y Divide each side by '5'. x = 1.2y Simplifying x = 1.2y
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