Republican presidential hopeful Donald Trump notched a resounding victory in his home state of New York on Tuesday, giving the GOP front-runner some much-needed breathing room following a turbulent campaign shakeup and a bevy of primary victories by Texas Sen. Ted Cruz. If Trump succeeds in winning nearly all of the available delegates, he will be more likely to win the GOP nomination on a first ballot at the convention in Cleveland — assuming he also wins coming primaries across the Northeast, where he is similarly popular among Republican voters. If he fails to pick up a large majority of New York’s delegates, Trump is more likely to fall short of the 1,237 delegates needed to secure the nomination — setting up a contested convention in July.