How can I de-authorize computers without an old email address?

Question

Long story short, I purchased quite a big amount of music from the itunes store way back in the day on an old hotmail account. I switched to gmail 4 years ago and updated my itunes account with the new email address. I recently switched to a new computer and was transfering over my library when it said that I was at the maximum authorizations. I went into my account and followed the steps as stated here: https://discussions.apple.com/thread/4644232 and that worked fine, the problem is that when I attempt to play the songs it says that I'm still at the maximum authorizations and asks me to sign in with the old hotmail account. I was under the impression that it should have been updated to the gmail, and since its a 4+ year old hotmail account that hasnt been used, the hotmail account no longer exists, so I cant just try to recover the password to try and de-authorize all. All of my older computers itunes all have the gmail as the account login, so I cant try de-authorizing all from any of them. Does anyone have any suggestions of how to de-authorize all computers given that Its asking for an email-password combo that a) should have been updated to the current gmail b) no longer exists as an email?

Answer 1

As a bit of an update, When clicking to authorize a song, it asks you for the email address (hotmail) and a password. I tried entering an old password and it told me that I'm at my maximum authorizeation limit (so i assumed that it meant that password was valid) but when i try to log into the itunes store to follow the de-authorization procedures it says that this is an invalid appleID or password.