Donald Trump and Hillary Clinton notched important wins in their respective presidential primaries in their home state of New York on Tuesday night.

In the Republican race, the billionaire real estate mogul is on pace for a massive victory over his two remaining rivals and is likely to sweep most of the 95 delegates up for grabs.

“We’re going to get a lot more delegates than anyone projected in their wildest imagination,” Trump boasted, entering his victory party at his own Trump Tower building to the strains of Frank Sinatra’s “New York, New York.”

Trump had barnstormed the Empire State boasting of his “New York values” that his chief rival, Ted Cruz, had found himself in hot water for mocking earlier during the campaign. Cruz is unlikely to get any delegates from New York, finishing third behind Ohio Gov. John Kasich.

By topping 50 percent in the state, Trump will get 14 statewide delegates. Eighty-one of the remaining 95 delegates up for grabs are awarded by congressional district; Kasich will pick up a handful of delegates.

Trump has the majority in most of the 27 districts, getting all three delegates available in those areas. Kasich will win a few delegates in districts in the Upper East Side and Lower Manhattan/Wall Street areas of New York City, along with districts in Albany and Syracuse. And Kasich is actually leading Trump in New York County (Manhattan).

Still, Trump’s decisive victory is a major setback for the #NeverTrump movement hoping to slow the controversial Republican’s march to the nomination. And while Cruz has been successful in notching delegate victories in recent weeks at GOP conventions in Wyoming, Colorado and North Dakota, states up on the calendar next week in the Northeast don’t look promising for the Texas senator.

Trump, for his part, has made recent moves to revamp his campaign operation, which has left delegates on the table with disorganization at those same state conventions that Cruz has been able to maneuver to his advantage. And his election night speech too had a more subdued feel than some of his more boisterous victory laps of the past.

On the Democratic side, the win for the former New York senator over rival Bernie Sanders in her adopted home state is an important one for Clinton too, who hadn’t had a victory since Arizona almost a month ago. With 90 percent of the vote counted, she is leading by 15 points.

“Today you proved once again, there is no place like home,” Clinton told her crowd of roaring supporters at a Midtown Manhattan hotel, where she entered to Jay Z and Alicia Keys’ “Empire State of Mind.” “This one’s personal.”

Ultimately Sanders, a Brooklyn native, needed to win with 57 percent of the vote to begin to cut into her lead. Despite wins over the past month in smaller, less delegate-rich states, they were not enough to help the Vermont senator catch her in the Democratic delegate race, which she led by 244 pledged delegates going into Tuesday night. If Clinton’s margin holds, she’ll rack up most of the 247 pledged delegates up for grabs, making her path to the nomination that much clearer.

“The race for the Democratic nomination is in the home stretch and victory is in sight,” Clinton said at her victory party.

There was still plenty of controversy on the Democratic side in the closing hours. Member station WNYC reports that there has been a surprising decline in registered Democrats on the rolls in Brooklyn, a younger, gentrifying area where Sanders is expected to do well. And there have been reports of problems at the polls today as well.

Copyright 2016 NPR. To see more, visit NPR.