Think of all the different methods you could use.

Make a second Tuvix, merge them together, then split them both twice!

They all completely forgot. It's only the fans who remembered.

they had tuvix tuesdays where they all made margaritas and celebrated not having to deal with tuvix.

Yeah, you got it. The point of the episode was that it was a difficult, near-impossible decision but someone had to make it, and as captain it fell to her. Clearly she didn't derive any joy from it, and I would imagine it weighed on her heavily for a long time after, but it did let her basically bring her longtime friend (Tuvok) back to life as well as a valued member of the crew (Neelix). Tuvok was both tactical officer and chief of security and was critical (in the grand scheme of things) to getting Voyager home safely. So "needs of the many" applies to both Neelix and Tuvok as well as the rest of the crew.

I'll make the Tuvix jokes because they're fun, but "Tuvix" (the episode) explores a really complex moral dilemma that, as far as I'm concerned, has no right or wrong answer.

Edit: Thanks! That was kind of my thought when I registered this username. I thought I was being clever and original, but in the Trek novels I started reading after I had this username, iced raktajino is mentioned many times so it's not quite as original as I thought haha.