1. **State the problem:** We have a parallelogram with angles labeled $y^\circ$, $47^\circ$, $x^\circ$, and one angle given as $38^\circ$. We need to find the value of $y$. 2. **Recall properties of parallelograms:** Opposite angles in a parallelogram are equal, and adjacent angles are supplementary (sum to $180^\circ$). 3. **Use the supplementary angle rule:** Since $y^\circ$ and $47^\circ$ are adjacent angles, they satisfy $$y + 47 = 180$$ 4. **Solve for $y$:** $$y = 180 - 47$$ $$y = 133$$ 5. **Check consistency:** The opposite angle to $y$ should also be $133^\circ$, which fits the parallelogram properties. **Final answer:** $$\boxed{133}$$