\[y = \frac{2x - 2}{x - 3}\]
\[y = \frac{2x - 6 + 6 - 2}{x - 3}\]
\[y = \frac{2 \cdot (x - 3)}{x - 3} + \frac{4}{x - 3}\]
\[y = 2 + \frac{4}{x - 3}\ ,\ \ x \neq 3\]