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9:39 p.m.

Donald Trump addressed a crowd of supporters at his headquarters in New York City after a strong win in the state's primary.

"We don't have much of a race anymore," Trump said during a victory rally in the lobby of the Manhattan tower bearing his name.

“Senator Cruz is just about mathematically eliminated,” he said. “We’re really, really rockin’.”

The GOP frontrunner emphasized the importance of winning on the strength of the ballot.

"It's really nice to win the delegates with the votes," Trump said. 

"Nobody should be given delegates, which is a ticket to victory, and it's not a fair ticket. And even though we're leading by a lot and we can't be caught--it's impossible to catch us--nobody should take delegates and claim victory unless they get those delegates with voters and voting, and that's what's going to happen. And you watch. Because the people aren't going to stand for it. It's a crooked system, it's a system that's rigged, and we're gonna go back to the old way. It's called 'You vote and you win.'"

Watch the segment above.


9:19 p.m.

Fox News projects Ohio Gov. John Kasich will place second in New York's Republican primary, leaving Texas Sen. Ted Cruz to finish third, based on exit polls and some early tallies.

It remains to be seen by what margin Donald Trump will win the state, which would determine whether or not he takes all of its 95 delegates.

Donald Trump is the winner of the New York Republican presidential primary, Fox News projects.

Polls had showed the billionaire businessman with a comfortable lead in his home state.

It is not yet clear how wide of a margin Trump won by.

As for who came in second place, John Kasich is currently well ahead of Ted Cruz, though those results are not yet official, Megyn Kelly reported.

Trump is expected to speak soon at his headquarters in New York City.

Video from earlier today showed the moments after Trump voted for himself in the primary, saying "this was just a great honor."

“Donald Trump has worked very hard in New York,” Carl Cameron reported from Trump Tower minutes before the results.

“There have been robocalls, there’s been door-to-door canvassing. Perhaps more work in his home state than any of the other preceding contests, caucuses and primaries. For Trump tonight, it’s a very big moment.”

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