For anyone out there experiencing trouble viewing Flash videos due to the latest Android 4.4 (KitKat) update, here is a method that worked on my phone (LG-G2) and should work on any Android 4.4 device.  (Neither Puffin nor Photon browsers worked for me)

I only had success after installing the Dolphin Browser and a modified version of Flash (which accommodates the changes in KitKat).

Youtube video tutorial (provided by AndroidRootz.com):

https://www.youtube.com/watch?v=luxqwoxYzxw

Step-by-step instructions (provided by same):

http://www.androidrootz.com/2013/12/how-to-install-flash-player-on-any.html

Having this ability has really helped me fit some extra study time into the day.  Hope it can do the same for you.

Thanks!

Jason