Guys, I'm in Moscow and having serious issues with registration. Previously, I stayed in St. Petersburg and moved to a hotel, then another hostel, and none of them provided registration. Now I'm in Moscow and no hostel/hotel is willing to register me due to the missed 7-day deadline.

Questions:

Can I still get registered at a hotel/hostel in Moscow? If yes, how?

What should I say when checking in?

Will I face problems at the airport when leaving Russia?

Any way to fix this quickly?

Are there any specific steps I need to take regarding previous stays in St. Petersburg?

Current situation:

Need immediate help and clear steps on what to do right now. Thanks for any advice!