I have reinstalled my PC and lost BitcoinCore, still have the Private Key, can i get my Wallet back?

Yes, just make a new wallet in BitcoinCore and import your private key using

importprivkey <your key here>

in the console (Window -> Console, if you are using the GUI).

You may have to rescan the wallet for the funds to become visible (I believe BitcoinCore should generate the address and public key automatically upon import.).

Side note: You should only insert the private key into a system you trust (check the signature of the BitcoinCore client you downloaded) and make sure to encrypt the wallet after you do so. If it is compromised, your funds are gone. Consider keeping it offline at all times if the amount on it is large.

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