Would have you believe

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Jan 22, 2016 04:46
Hi guys, I am reading Ellen DeGeneres's Seriously...I'm Kidding. And I found a sentence hard to understand. That is "Mama moved into that house in 2010 not 1987, as the VHS tapes would have you believe". Could someone explain the sentence, notably the phrase "would have you believe" and the preposition "as" to me?
Thank you in advance.