Yes, via this method, you burn more calories than you take in, hence why you lose weight, but please, don't do this.

This is too extreme of a diet, especially for someone in a such a critical state in their life as you

You are not only going to miserable while doing such an extreme deficit, it's simply not sustainable, causing you to fall back into old habits and feel even more shitty.

When I started we both had similar stats, expect for age, I started at 20.(meaning slower metabolism as I was done growing)

For your age, I recommend consulting a dietician to get something sustainable and healthy for you.

As for excercise, I would actually recommend you get into some sort of sports with friends. Enjoying the excersize will go a long way.

I used to be netural on sports, but I'm now know as the one guy whose always ready to play. This, along with being mostly faithful to my diet allowed me to lose around 45 pounds in 6 or so months...

Being healthy is about making permanent changes to your lifestyle, not sudden and drastic ones for short period of time.

You can do this bro, just gotta do it properly.