1. **State the problem:** Solve the expression $ \frac{y-2}{2y^2} $. 2. **Understand the expression:** This is a rational expression where the numerator is $ y-2 $ and the denominator is $ 2y^2 $. 3. **Simplify if possible:** Check if numerator and denominator have common factors. 4. Since $ y-2 $ and $ 2y^2 $ share no common factors, the expression is already in simplest form. 5. **Important note:** The denominator $ 2y^2 $ cannot be zero, so $ y \neq 0 $. 6. **Final answer:** The simplified expression is $$ \frac{y-2}{2y^2} $$ with the restriction $ y \neq 0 $.