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Rep. Charlie Rangel, D-N.Y., and Democratic Assemblyman Hakeem Jeffries cruised to victory in New York's marquee House primaries Tuesday night. Here's a rundown of other notable primary results in the state.

NY-06: Assemblywoman Grace Meng won the Democratic nomination in New York's 6th Congressional District, and she will become the first Asian-American woman to represent New York in the House of Representatives if she carries the heavily Democratic district in the fall.

The Associated Press called the race just before 11 p.m. With 73 percent of precincts reporting, Meng had 52 percent of the vote to Assemblyman Rory Lancman's 28 percent. Two other candidates split the remainder.

Retiring Rep. Gary Ackerman and the Queens Democratic Party endorsed Meng to replace the 15-term congressman, but Lancman brought appeal to Jewish voters and significant union support to the primary. Lancman's campaign believed that higher rates of turnout among their key supporters could drive them to victory. But Meng cruised to victory in the district with the highest percentage of Asians east of the Rocky Mountains.

NY-07: Democratic Rep. Nydia Velazquez won the primary in New York's 7th District, turning back a challenge from Erik Dilan, who was the hand-picked candidate of Vito Lopez, the chairman of the Kings County Democratic Party. With 65 percent of precincts reporting, the AP has called the race for Velazquez, who leads Dilan 62 percent to 22 percent.

Two other candidates also ran in the Democratic race, but finished well off the pace set by the incumbent. Velazquez enters the general election a heavy favorite to win the Brooklyn-based district that gave President Obama over 80 percent of the vote in 2008.