sway

noun

1
move back and forth or sideways
the ship was rocking
the tall building swayed
2
cause to move back and forth
rock the cradle
rock the baby
3
move or walk in a swinging or swaying manner
He swung back
4
win approval or support for
Carry all before one
His speech did not sway the voters

Also useful for “sway”:Unscrambler— Turn loose letters into real words