Step 1: Open the inbox you wish to move emails from
Step 2: Select all the emails (Shift + Click or Ctrl + A or If you are on a Mac, hold the Command key, ⌘, to select multiple messages, or Ctrl+ A to select all of them at once)
Step 3: Drag them to the inbox of the account you wish to move them to
Step 4: It will take some time to complete the process, wait for the copy to finish
Step 5: That’s it! All of your emails should now be on the new account. A good way to test this is to use webmail to make sure they all appear correctly.