The word negabas is the imperfect form of negar in the second person singular. There are other translations for this conjugation.
See the full negar conjugation

negar

Que te negabas a darle una carta de recomendación.
She said you wouldn't give her a letter of recommendation.
No sé por qué, te negabas a abrir los ojos.
For some reason, you simply refused to open your eyes.
Por eso te negabas a acostarte conmigo todos esos años.
So that's why you refused to sleep with me all these years.
Hice por ti todo lo que te negabas a hacer.
Anything you refused to do, I did for you.
He hecho lo que te negabas a hacer.
I've done what you refused to do.
La mujer de quien firmemente negabas sentir atracción.
The woman you so adamantly denied having any attraction to.
Él quería, pero tu te negabas.
He wanted it, but you refused.
¿Por qué lo negabas antes?
Why did you deny it before?
Cada vez que intentaba sacarlo a colación, te negabas a hablar de ello.
Every time it has been brought up you have refused to talk about it.
Te negabas a usar un anillo de compromiso.
I learned that when I tried to get you to wear a ring.
Te negabas a usar un anillo de compromiso.
I Iearned that when I tried to get you to wear a ring.
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