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You did not get me :)

The soft sign does not belong to the ending.
You confuse pronunciation and spelling. Pronunciation is primary, spelling is a way to render the pronunciation in writing.
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The first one is the dictionary form (nominative singular): баня. And in all of my other examples the same sequence is assumed.

So, "я" (as I hope you know) serves for two purposes: 1) represents...

Generally - it is very simple: any noun which has -а/-я or -о ending in its dictionary form, takes zero ending in genitive plural.
There are a few exceptions, though: ухо - ушей, око - очей (око is...