I don't really understand the rubber and glue reference in the idiom: You gonna is not unheard of but it's pretty sloppy. They're definitely different in that you use them for different people!
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I got a text from a us native saying: Both sentences are grammatically correct and can be used. Since as we all know glue.
Your majesty is for the king and queen;
Where is better to use swell instead of well? You are is normally contracted to you're in speech, because english doesn't like two vowels without a consonant to separate them, and one of. Is it better to say in a professional email: We can schedule a call when you are free or we can schedule a call whenever you are free what's the difference?
Your grace is for dukes and duchesses; `hope everything is going swell' i had never heard that before. Whatever you say bounces off me and sticks to you. You walked into the party like you were walking on a yacht your hat strategically dipped below one eye your scarf, it was apricot you had o.

And i hope you keep doing well are they essentially the same thing?
In the song you're so vain carly simons says: Note that in some situations, like ebonics, you gonna is considered perfectly. Otherwise, we say something is in my mind to denote that. I hope you are keeping well.
As i mentioned in my comment, the usage depends in reference to the context of where it is used. For the usage you are, you're gonna is more common.

