Can someone explain how remake works for me?

Ok so I was just in a game as Nami support, my draven adc didn't connect (real shame; not really :p), so I was having to 2v1 bot lane, after a while the option to remake came up: 2 yes and 2 no votes (I voted no, fairly certain I could do well enough if I played safe, and I like a challenge). This meant there wasn't a majority. I got first blood with Nami, and then the game ended due to remake. Why did the remake go through when 3 yes and 2 no votes on a surrender vote doesn't? Are there different rules? If so, what are they?
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