。
I'll try not to get in the way of your studies.
Literal
Your study [object-を] disturb-not [purpose-ように] do [polite-ます].
The pattern ~ないようにする ('try/make sure not to do X') is built from ように ('in the manner that,' 'so that') plus the negative form. With する on the end, it becomes 'do things in such a way as to not X' = 'try not to X / make a point of not X-ing.' Compare ~ようにする (try to X) and ~ようになる (come to X).