The first thing to do is to get it clear in your mind what is the question you want to answer. Here, it is very obvious, but that is not always the case, and it always pays to pause, and to make sure that you are considering the right question.
So, here the question is, "How many people are not flying kites ?"
The trick often is to think in terms of the opposite; for example, in order to answer this question, you first have to know how many people ARE flying kites.
Six people are flying box kites, and 4 people are flying diamond kites, so the number of people flying kites is (6 + 4) = 10 people.
There are 18 people on the beach, and 10 of them are flying kites. So the number who are not flying kites is (18 - 10) = 8.
The type of operation you do, and the order in which you do them, depends upon how the problem is put, and what information you are given.
Usually, some re-organisation of the information given is required, and, as I said above, it is usually necessary to think 'from the opposite direction', sort of.
You can only think carefully, put down clearly what you do know, and try to see the overall picture. It gets easier with practise !