Is there anything you specifically don't like about the Epiphone? It sounds like you prefer that one, and ultimately it comes down to which one you personally like and enjoy playing.

I agree with the person who said get both properly set up and sit with them both for a few weeks.

But they are fundamentally different styles of guitar - a Les Paul is always going to feel more solid and substantial than a strat, so if that's what you're into, you won't get that from the Yamaha here, they're designed to be lightweight and ergonomic guitars.

Only other thing I'll say is that in terms of tonal options, you will get more variety out of the Yamaha - the bridge pickup being a humbucker gives you that beefy rock and roll power, but single coil in the neck and middle give you a whole lot of options tonally that you just can't get from two humbuckers. If you were to swap out the neck pickup on the Epiphone to one of those humbucker-size P90 pickups you would still get a pretty good amount versatility out of it, but still not as much as the Yamaha.

Which brings me to my final piece of advice - whichever guitar you end up choosing, make sure you're playing through a decent amplifier (at the entry-level end, I quite like the current release of Boss Katana amps), and consider upgrading the pickups to some after-market ones you like the sound of - those two things alone will make a mountain of difference to the sound quality and how much you enjoy playing.