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

desayunar

Lucas desayunaba mientras su esposa leía el periódico.
Lucas ate breakfast while his wife read the newspaper.
No es por nuestro padre, silbaba mientras desayunaba.
It can't be from our father. He often whistled at breakfast.
Según su esposa, no desayunaba. Solo tomaba su taza de té.
His wife said Hank didn't eat breakfast, just the cup of tea.
¿Sabes lo que desayunaba?
You know what I used to eat for breakfast?
Cuando se les preguntó a las familias, solo un 0,5% afirmó que el escolar nunca desayunaba.
When the families were asked, only 0.5% said that the schoolchild never ate breakfast.
Él desayunaba en el apartamento de mis padres en Washington, D.C. We almorzaba también en un restaurante céntrico.
He had breakfast at my parents' apartment in Washington, D.C. We had also lunch at a downtown restaurant.
Y ahora he vuelto a donde empecé. Solo soy una chica desayunando con un director. Antes no desayunaba con ellos.
Now I'm right back where I started just an extra girl having breakfast with a director, only I didn't use to have breakfast with 'em.
Mientras desayunaba con una amiga, ella me dijo que le gustaba mi oración semanal, yo me sorprendí porque ella lo tiene todo y de hecho yo aprendo de ella.
While having breakfast with a friend she complimented me on the weekly prayer, I was actually surprised because this lady has it all together and I learn from her.
Como solía hacer, Escaramuça había salido de su casa, en el barrio San Francisco, en dirección a la panadería Pão de Mel, ubicada en la calle Amazonas, esquina con la calle Enoch Vieira de Almeida. Allá compraba los periódicos del día y desayunaba.
As usual, he had left his home in the San Francisco neighborhood for the Pão de Mel bakery on Amazonas street, at the corner of Enoch Vieira de Almeida. There he would buy the morning papers and have breakfast.
Desayunaba con ellos a la mañana.
And ate breakfast with them in the morning.
El hombre del ferry desayunaba aquí con su mujer todas las mañanas.
The ferryman and his lady ate here every morning.
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