Who Won and Who Lost in Tuesday’s Primary Elections

Voters in a handful of states weighed in on key contests in Tuesday’s primaries. Here’s a rundown of among the most notable wins and losses.

Gov. Kathy Hochul won her Democratic primary, defeating Jumaane Williams, the Latest York City public advocate, and Representative Tom Suozzi of Long Island.

Ms. Hochul will face Representative Lee Zeldin of Long Island, who won the Republican primary. He defeated three rivals, including Andrew Giuliani, a former Trump White House aide and the son of Rudolph W. Giuliani, the previous Latest York City mayor and Trump lawyer.
Ms. Hochul’s running mate, Lt. Gov. Antonio Delgado, whom she appointed to the position in May, won his Democratic primary, defeating Ana María Archila, the running mate of Mr. Williams, and Diana Reyna, the running mate of Mr. Suozzi.

Darren Bailey, a far-right state senator who was endorsed on Saturday by former President Donald J. Trump, won the Republican nomination for governor. He’ll face the Democratic incumbent, Gov. J.B. Pritzker.
Jonathan Jackson, a businessman and son of the Rev. Jesse Jackson who benefited from greater than $1 million in outside spending, won a 17-candidate Democratic primary for an open seat within the First Congressional District.
Representative Sean Casten, a moderate Democrat, defeated a progressive House colleague, Representative Marie Newman, in a primary for the newly drawn Sixth Congressional District.
Representative Danny K. Davis, a veteran Democrat endorsed by President Biden, beat Kina Collins, a young gun safety activist, for a second time in his Chicago district.
Representative Mary Miller, a 2020 election denier who has spoken admiringly of Adolf Hitler, won her Republican primary against fellow Representative Rodney Davis.

Representative Markwayne Mullin advanced to a runoff with T.W. Shannon, a former speaker of the Oklahoma House, within the Republican special primary for the Senate seat being vacated by James M. Inhofe, who’s retiring. The winner of the special election in November will hold the seat until January 2027.

Joe O’Dea, a construction company owner who favors some access to abortion, won the Republican primary for Senate in Colorado, defeating a far-right challenger whom Democrats had tried to assist because they thought he can be easier to beat in the overall election.
Pam Anderson, a longtime local election official in Jefferson County, won the Republican primary for secretary of state, defeating Tina Peters, a county clerk and election denier. Ms. Anderson will face the Democratic incumbent, Jena Griswold, who was unopposed in her party’s primary.
Representative Lauren Boebert, considered one of Mr. Trump’s most ardent supporters, won the Republican nomination within the Third Congressional District.
State Senator Barbara Kirkmeyer won the Republican nomination within the newly drawn Eighth Congressional District and can face Yadira Caraveo, a pediatrician and state lawmaker who was unopposed within the Democratic primary.

Representative Michael Guest, who supported a Jan. 6 investigation but voted to overturn the 2020 election results, won the G.O.P. runoff within the Third Congressional District, defeating a pro-Trump challenger, Michael Cassidy.
Mike Ezell, the sheriff of Jackson County, defeated Representative Steven Palazzo, a Republican facing an ethics investigation, in a primary runoff within the Fourth Congressional District.

Reid J. Epstein and Jennifer Medina contributed reporting.