Hello Paloma,
Welcome. It sounds as though you've got the right mindset. If you stick with it it will work. I lost 17 kg when I started over 5 years ago. Over the past couple of years I have gained back 3-4 but I am still basically following a low carb way of eating and I am determined to do it for life otherwise I know I would gain it all back.
This is a great forum. There are many helpful people who can give good advice and encouragement.