This is the 697th most frequent Hungarian word.
egymásnak
"To each other" or "for each other."
Here, 'egymásnak' indicates mutual assistance between individuals.
Az iskolások egymásnak segítenek a házi feladatban.
The schoolchildren help each other with their homework.
In this example, 'egymásnak' describes the action of exchanging occurances between members of a group.
Egymásnak adták a könyvet, amíg mindenki elolvasta.
They passed the book to each other until everyone read it.
The use of 'egymásnak' here denotes a reciprocal intention or preparation among persons.