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Not quite sure what you mean by 'blockchain website', but the process should be similar for transferring your steem coins to any other exchange.

Blockchain is also a bitcoin wallet website like Coinbase. I just want to confirm whether the process is same in the Blockchain like what you have explained for the Coinbase?

Yes, the process should be the same for Blockchain as well. When the Blocktrades interface pops up, you will just use the wallet address provided by Blockchain instead of Coinbase.

Thank you for your reply and detailed information.