The word resolvías is the imperfect form of resolver in the second person singular. There are other translations for this conjugation.
See the full resolver conjugation
Si no lo resolvías para mañana yo habría ganado.
If you didn't solve it by tomorrow, I would have won.
¿Cómo resolvías los casos antes de conocerme?
How did you solve any cases before you met me?
Incluso cuando tú resolvías un problema.
Even when you were doing a problem.
Me encantaba como resolvías todo diciendo: "Hondo lo hace".
I loved how you just couldn't manage saying "Hondo do it."
Una vez que los resolvías, todo lo que debías hacer... era regresar al edificio y escribir la respuesta en la pared.
Once you solved them all you had to do was return to the building and write the answer on the wall.
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