What I would do, personally, is to go into a calorie deficit. This means eating less than what you need to maintain current body composition.
While you are in a calorie deficit, though, your body will naturally want to break down muscles to feed itself, but you will counter this through weight training.
Compounds and Olympic lifts are worth it. These exercises release way more growth hormones than simple, isolated lifts. Plus they are much less time consuming.
Here are examples of what I would have someone do:
-Have a 20% restriction on maitenance calories.
-Lift weights 3 times per week. These would need to be full body workouts.
-20 minutes of interval cardio after each lifting sessions.
-Cardio twice a week on non-lift days, prefereably on rower or crosstrainer so you activate a majority of the muscles in the body. Thus increasing calories burned making the workout more efficient.
-Eat 6 smaller meals per day.
-No sugar.
-Increase weights used by 2-3% per week.
-Increase cardio intensity/duration once per week.
-Completely revamp routines every 4-6 weeks.
I garantee results.
I have tried these personaly once and lost 10 pounds of fat in 4 weeks. There is no way this can't work. Cutting is simple math.