For anyone interested in a custom rom for your Nexus 7 (2013), I'll put in a good word for CleanROM 5.1 on the xda developers site. It is based on Lollipop (5.02). You can choose which Google apps you want during the installation process. Runs very well. Scott is a great dev. Also recommend the Elemental X kernel with it.
If rooting is unfamiliar to you, or feels daunting, check out WugFresh's Nexus Root Toolkit (which most any Nexus can use). You can root, install a custom recovery, or go back to stock pretty easily. This is also on xda.
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