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Search engines work out how websites rank rather differently from each other. My site has only just had pages rank on Google, while on Bing they're ranked for a number of months. And even then the rankings are different across the two. Like Russ said, you may need to prioritise one over the other. In my case Google has started to take notice of my site even though Bing noticed it months ago. I would bet that sooner or later Yandex will do the same for you.