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Simplifying 6x + y = 4x + 10y Solving 6x + y = 4x + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6x + -4x + y = 4x + -4x + 10y Combine like terms: 6x + -4x = 2x 2x + y = 4x + -4x + 10y Combine like terms: 4x + -4x = 0 2x + y = 0 + 10y 2x + y = 10y Add '-1y' to each side of the equation. 2x + y + -1y = 10y + -1y Combine like terms: y + -1y = 0 2x + 0 = 10y + -1y 2x = 10y + -1y Combine like terms: 10y + -1y = 9y 2x = 9y Divide each side by '2'. x = 4.5y Simplifying x = 4.5y
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