Hyper 212 plu fit in my case?

I have an AZZA EOS 204 gaming case. As hard as you look on the internet you will find no information about it.
I have the box thankfully
the dimensions are 18 x 8 x 19 or 458mm x 204mm x 483mm (LxWxH)
Here is the hyper 212 plus: http://www.newegg.com/Product/Product.aspx?Item=N82E168...
I have an amd fx 8120 cpu that gets very very hot with this stock heat sink the cyberpower carelessly threw in there.
You will have to shave some off of the width for the motherboard. but i dont know how much.
Thank you for any of your answers  

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