The word bailaban is the imperfect form of bailar in the third person plural.
See the full bailar conjugation

bailar

Los hombres bailaban juntos porque no había mujeres por allí.
The men danced together because there were no women around.
Pero yo tenía un problema, mis pinturas nunca bailaban.
But I had one problem, my paintings never danced.
Cuando yo era un niño, las mujeres bailaban libremente.
When I was a boy, women danced free-range.
Solo cantaban y bailaban todo el día y toda la noche.
Just singing and dancing all day and all night.
Todo el mundo vio el... bailaban muy bien.
Everyone looked at the... they danced very well.
Esta es la canción— la que bailaban.
This it that song— the one you danced to.
Dijo que bailaban en el cielo.
He said they danced in the sky.
En las que los jóvenes bailaban y los ancianos soltaban risitas.
Where the young danced and the old giggled.
Las mujeres bailaban en círculo s.
The women danced in circle s.
Y como no bebían, ya no bailaban.
And because they didn't drink, they were reluctant to dance.
De hecho, un reporte médico decía que "bailaban por los pasillos".
One medical report actually says they were "dancing in the halls."
Y después iban a nadar y bailaban.
And then they'd go for a swim and do a little dance.
Las muchachas bailaban con la música.
The girls danced to music.
Por más energía que ponía en ellas al hacerlas, nunca bailaban.
As much energy as I put into them while making them, they never danced.
Las chicas bailaban la música.
The girls danced to music.
Por supuesto que solo bailaban.
Of course you were just dancing.
Solía sentarme en mi porche... y ver cómo bailaban en el salón.
I used to sit on my front porch and watch them dance in the living room.
Mientras esperaban, los hombres bailaban juntos con la música que tocaban los músicos.
The waiting men would dance together while the musicians would play.
Cuando ellos bailaban, ella no.
When they're on, she's off.
Se quedó temblando y pálido, mientras los vientos de Kimita bailaban en el círculo antes de disiparse.
He stood shaking and pale as Kimita's winds danced about the circle before dissipating.
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