his/her/your skin
¿En qué lugar has visto todo eso, si cada cual sólo piensa en su pellejo!
Where have you seen all that, when everyone only looks out for themselves!
— Andrei Rublev (1966)
Cada uno se ocupó de salvar su pellejo.
Everyone was only concerned with saving their own skin.
— Perros de Reserva (1992)
Era cada uno salvando su pellejo.
It was everyone saving their own skin.