I'm just gonna leave this here: https://en.m.wikipedia.org/wiki/Political_spectrum#:~:text=The%20terms%20right%20and%20left,various%20legislative%20bodies%20of%20France.

To 99% of the population of you say "left" they will think Democrats and if you say "right" they will think Republicans. I'm not saying those definitions are strictly accurate, but that is how most people would lump those things.

I do not differentiate left/liberal/Democrats the same exact way I don't differentiate conservatives/Republicans/right. Those groups share enough overlap that unless you're specifically talking about a very slim slice of one of those sub groups you can generally use any of them to refer to the same groups interchangeably.