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http://www.youtube.com/watch?v=WDizMnmtl_k&feature=related

Check this video too! These kids repeat "ля-ля-ля" over and over again (it's a sol-fa lesson). There's also a very nice and clear rolling...

Ok, I see some confusion here.
Ы and И have nothing to do with vowel reduction. They are different vowels, and so they affect previous consonants in different ways. Or rather Ы does not affect them...