For diet cut out sugar, processed foods, and if possible dairy. Or at least limit dairy. Dairy can have an effect of insulin. Limit carbs as well. Eat your veggies and limit fruits. Fruits are high in calories and can easily put you over in your daily calories. Focus on your diet. Your body will not budge unless you are giving it the right fuel it needs to do its job. At the very least take a multi-vitamin daily to supplement any lost nutrition.
Make sure you are getting enough omega-3 (good fats in things like avocado, nuts, and olive oil). Always take in more omega-3 than omega-6 or omega-9. Omega-3 can help burn fat.
HIIT (High Intensity Interval Training) are very good for burning fat. This can target fat burned for energy rather than carbs.
Like I said, limit carbs. You want to burn fat as fuel rather than carbs. Veggies contain complex carbs which digest slowly. Simple carbs are what's in bread, pastries, etc. They burn fast and will turn in to fat almost immediately. So eat your veggies.
Strength training is good with a combination of some cardio. Muscle burns calories for a longer period of time.
Get enough protein. I believe it's about 40mg for women and 50mg for men.
This is the formula for calories needed: Target body weight × [10 + number of weekly exercise hours] = calorie intake
Lastly, get enough rest. You need rest to recover from strenuous exercises.
I'm sure there are things people know more about, but that's what I can think of right now.