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y-\frac{x}{2\left(x-3\right)}
Factor 2x-6.
\frac{y\times 2\left(x-3\right)}{2\left(x-3\right)}-\frac{x}{2\left(x-3\right)}
To add or subtract expressions, expand them to make their denominators the same. Multiply y times \frac{2\left(x-3\right)}{2\left(x-3\right)}.
\frac{y\times 2\left(x-3\right)-x}{2\left(x-3\right)}
Since \frac{y\times 2\left(x-3\right)}{2\left(x-3\right)} and \frac{x}{2\left(x-3\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{2yx-6y-x}{2\left(x-3\right)}
Do the multiplications in y\times 2\left(x-3\right)-x.
\frac{2yx-6y-x}{2x-6}
Expand 2\left(x-3\right).