Here I am again: How install Google Play Store into Kindle Fire 10.1?

[UTUSN]

I've done some due diligence (YouTube) and tried these steps 2-3 times. The video says to install these 4 things in this order:

1- Go to the Fire browser ("Silk" ). Will have to go to Security/Privacy and enable Allow "Apps from Unknown Sources"

2- Google Account Manager 7.1.2 - (download, open, install)

3- Google Services Framework 9

4- Google Play Services 10.5.30 (armeabi-v7a)

5- Google Play Store 17.4.18

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The problem came with Google Play Services 10.5.30 - after Downloading/Opening, error message "Did Not Install"

* Did a Search on errors and one suggestion was to clear the cache and reinstall. Did so. Got the Play Store icon fine, but then was told to SignIn (but wasn't given a sign-in window, instead went to a permanent window of "Checking info ..." - nothing finishes here.