Well it's easy... nothin weird, language doesn't always go hand to hand with Y-DNA.
Because of vast invasion of Indoeuropean R1b on Iberian peninsula from ancient times (even before Romans ever came there), like from Ibero-Celtic times, Basque people just became indoeuropeized by R1b, means they became indoeuropeized by genetic BUT NOT BY LANGUAGE.
That is the uniqueness about Basque people, they KEPT their language, even though mixing with IndoEuropeans.
You have the same case with Hungarians who are much younger european people than Basques, Hungarians arrived in 9th century in Europe, from then they're already R1a people by genetic (most dominant genetic in Hungarians), yet hungarians speak non-indoeuropean language.
P.S. But there is somethin much more fascinating about Basque than they're genetic combined with language, it's their BLOOD GROUPS, 40% of Basques are RH negative blood groups.
Having in mind that only 15% of World population (and all of those 15% are in Europe) are RH negative blood group, having in mind that Basques have the highest percentage of that RH negative blood groups, I think I dont need to say anything more.
They are truly unique people.
Oh and yeah, I am RH negative blood group
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