Collocations for sway - verb

gently, lightly, a little, slightly
alarmingly (esp. BrE), dangerously, precariously
The stage swayed alarmingly under their weight.

dizzily, drunkenly, unsteadily
back and forth, from side to side
He swayed back and forth like a drunken man.
The cow's udder swayed from side to side as she walked along.

begin to

in
The curtains swayed gently in the breeze.

to
Couples were swaying to the rhythm of the music.

easily
He will not easily be swayed by argument.

Sway is used with these nouns as the subject:
hip, room, tree

Sway is used with these nouns as the object:
decision, election, hip, jury, opinion, vote, voter