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I’m not certain about the new Nexus 7 since it is running Android 4.3, but on the first gen version with Android 4.0 you can sideload flash. I’d give it a try, you can install it from here:. http://forum.xda-developers.com/showthread.php?t=1931671
Also, I’m pretty sure that tthe default Chrome browser on the 2014 Nexus 7 will not support Flash, so you will also have to install another browser. It should work with either Firefox or Dolphin (I think), both of which you can get from Google Play.