“Eat more calories than you burn” is pretty much it though. You initially lose up to 1kg of water weight if you’ve gone very low-carb, which won’t be recovered without refilling glycogen stores. You’ll continue to lose mainly lean mass if your protein intake isn’t adequate. Fat loss will be less significant, so you’ll gradually turn to jelly.
Since protein and fat are much more satiating than carbs, and vegetables are filling too, it’s very easy to eat a lot less than you usually would, and this is one reason low-carb diets are purported to work. In terms of calorie-for-calorie effectiveness, macronutrient ratios make little difference in dieting, and faddy diet guru claims are BS. Protein will help you maintain a decent body composition and too many carbs will increase hunger though.
So, eat more! If your metabolism is burning more calories, you have to give it more calories. If vegetables fill you up quickly, give more space on your plate to fat/protein instead.