averiguaríais
-you would find out
The word averiguaríais is the conditional form of averiguar in the second person plural.
See the full averiguar conjugation

averiguar

Y si estuviera metido en ese tipo de cosas, vosotros lo averiguaríais, ¿verdad?
And if he were into that sort of thing, you guys could find out, right?
¿Lo averiguaríais para mí, tíos?
Would you guys find it out for me?
Supuse que lo averiguaríais.
I figured you'd find out.
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