Unliking

So you want to just unlike a page altogether? Sure! Go to your own page, it should look roughly like this:

From there you just select Likes. It should show up roughly like this, but with your own likes. These are my likes. Sorry.

You will then just select the page you are wanting to unlike. Loading that specific page will look roughly like this. Not that any person would ever unlike Taylor Swift.
Just hover over the word "Liked" and select "Unlike".

Tada, you've unliked a page. Now go like Taylor Swift. You know you want to.

I hope that helped!