This question has been raised repeatedly.
Likely you have also asked it yourself.
Does Distant Starlight really prove that the universe is old?
Or is there another explanation?
Dr. Jason Lisle, PhD (in Astrophysics) discusses this question and presents several of the most common explanations.
Don't be deterred by the PhD in Astrophysics. This 3 min 58 second video is not difficult to understand and you will find it most interesting.
HERE'S THE LINK to Does distant starlight prove the universe is old