The Brief: TY is an abbreviation for "thank you."

DEEP DIVE
TY is an abbreviation for “thank you.” TYVM is an abbreviation for “thank you very much.”
This is pretty much the whole deal. TY @MichelleObama #useyourvoice #WhenWeAllVote https://t.co/vuhChyksk1
— Tony Goldwyn (@tonygoldwyn) July 20, 2018
See also: Ty Dolla $ign.