The phrase "gat on the right side of" can be difficult to find synonyms for. However, there are alternative ways to express the same idea. For instance, one might say "right-sided entrance," "entrance on the right," or "right-facing gate." Other possibilities include "on the right-hand side of the fence" or "accessible from the right." One could also use more specific descriptors such as "east-facing door" or "southeast gate." For those struggling to come up with a synonym, it may be helpful to think about other ways to explain the location or orientation of the gate.