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Open Facebook. Click your name tab. Scroll down to the post you want to untag. Click ⋯. Click Edit Post. Delete a tagged name. Click Save.
Go to https://www.facebook.com/. This will open the News Feed if you're already logged into Facebook. If you aren't logged in, first enter your email address (or phone number) and password and click Log In in the top-right side of the page. You should see your first name near the right side of the blue bar that's at the top of the Facebook page. Clicking it will open your Facebook page. If you posted on someone else's page, you'll instead type their name into the search bar at the top of the page, click their name, and then click their profile to go to their page. Once you find the post you want to untag, you can proceed with removing the tag. It's in the top-right corner of your post. Clicking this will open a drop-down menu. You'll find this option in the drop-down menu. Doing so will allow you to change the text in the post. Click in front of the name, then press your computer's Delete key until the name is gone. This will remove the tagged person from the post. It's in the bottom-right corner of the post. Doing so saves your changes and removes the tag(s) from the post.