Having different email account from FB and google as same user

Hi guys, So I was testing the FB and google login function which works great after some tweaking. I logged in with my FB account and I then log it with my google account. However, I notice that when I log in to my FB account and my google account it will both linked with each other and I could not separate it. As you can see from the pics I upload, the FB account is @ yahoo while the google account is @ google. When I try to log in to either the Google or FB it will still show both of the ema

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