The Europeans had won free passage at the cost of 28 dead and 95 wounded.
The legislation is expected to win easy passage in the Senate, but no date has been set for a vote there.
They also won passage of an amendment that had been intended to bring them more support for their bill.
That bill is expected to win passage in the Senate next week.
The measure is virtually certain to win passage in the Assembly.
It will be the law if a bill that reaches the floor of the House today wins final passage.
The law, which won final passage on Tuesday, will take effect in two stages.
He had failed to win passage of legislation that would have extended state control.
Last year, the state labor federation failed to win passage of such a law.
The nursing home industry worked with consumer groups to win passage of the 1987 law.