your right side or on your back is just as common and can be equally comfortable depending on personal preference. Lying on your back is often appreciated for the feeling of alignment it provides, though some people find it less comfortable if they tend to move a lot during sleep.
Sleeping on the right side, on the other hand, may help certain people feel more relaxed physically, though this varies widely. Rather than searching for a “perfect” position, it’s more helpful to notice which one