yo deduje
-I deduced
Preterite yo conjugation of deducir.

deducir

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Lo hice porque yo deduje de manera independiente todas las derivaciones, corolarios e hipótesis en mi tesis de doctorado.
That was because I independently deduced all derivations, corollaries and hypothesis in my PhD thesis.
Yo deduje todo el asunto hacia el final del primer acto.
I had the whole thing figured out by the end of the first act
Eso es lo que yo deduje.
That's the way I translated it.
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