Step 1: Concept
To determine if $x > y$, we need to check if the difference $x - y$ is positive.
Step 2: Analysis of Statement I
$x - y = 4$. Since 4 is a positive number, it implies that $x$ must be greater than $y$ by 4 units. Statement I alone is sufficient.
Step 3: Analysis of Statement II
$x = 10$. This gives no information about 'y', so we cannot compare 'x' and 'y'. Not sufficient.
Step 4: Conclusion
Statement I alone is sufficient to answer the question, so the answer is (1).
Final Answer: (1)