The word botaba is the imperfect form of botar in the first person singular. There are other translations for this conjugation.
See the full botar conjugation

botar

No, él tenía una celda pequeña y no tenía mucho espacio para guardar cosas. Entonces, ya sabe, botaba mis cartas.
No, he had a small cell, and he didn't have a lot of room to keep things, so you know, he threw away my letters.
Botaba una pelota de tenis contra la pared.
He was bouncing a tennis ball against the wall.
Si se botaba un barco nuevo, todos iban a verlo.
If a new steamer was launched, everyone was there to see it.
La gente botaba las botellas en las calles, nosotros las recogíamos, las lavábamos y luego la íbamos a vender.
People threw them in the streets and we'd gather them up, wash them and then sell them.
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