Focusing on cutting calories doesn't always work. It does for some people. This is why:
Our bodies do a lot more with calories that just gain/lose fat. We have multiple bodily systems running concurrently, keeping us balanced in terms of blood pressure, temperature, hormones, fluids etc, and all of this takes energy ie Kcal. If you cut calories, your body may choose to lose some fat. But fat is your body's 'energy storage savings account', and nobody wants to drain their savings account, right? Better to live a little cheaper, day to day. So, your body might decide to deal with the calorie deficit by putting a little less energy into hormone balance, or controlling the fluids in your body, or maintaining your temperature, or your ability to physically move. This is why, when some people go on a calorie controlled diet, they get depression, greasy hair, sweats, crappy skin, exhaustion, etc, and eventually cave in on the diet, because they feel like crap and they've not lost any weight.
The body can't do anything with carbs except move, and fuel the brain. The brain can only use so much energy, even if you're a rocket scientist, so, unless you're moving to burn all the carbs off, they will be stored as fat. There's nothing else they can do. Protein and fat look after all the other functions. All of them. So if you eat more fat than you need, the body can choose to store it, or to focus on giving more energy to making your skin gorgeous, or keeping your mood balanced, etc.
Carbs also make the body release insulin, which tells the body 'Hold up! Don't use any fat!! Keep the savings account full!! We've got readies, here!'. The body will use no fat until the carbs are used up. Most of us live in that 'Hold up!' state, and get ridiculously hungry (hangry?) when we near the end of the carbs in our system.
Drop your carbs substantially. Eat more protein and fat. Your body will be able to fuel your systems to stay healthy, and burn its stored fat. This will mean you are less hungry (as your body can access it's storage fuel), and eating at a calorie deficit will happen easily, and quite possibly by mistake.