I've been on low carb 2 years, no wheat, down from 225 to 180 with 0 exercise, and I'm 34. In the middle of that stretch, I had a regression due to eating too much fat (fat bombs, sour cream, heavy cream, butter, etc.) and I bounced up.
So I decided to just eat protein and what fat comes naturally with it, and not add any extra pure fat, for as long as I'm trying to burn my own fat. And that's worked well - basically meat, eggs, cheese. In fact, I'm probably about done with the loss phase now. Yay!
And I don't get 'hangry' as my wife would say, due to blood sugar crashes, so mentally I'm much better.