The Republicans’ election dominance carried into state legislatures, where the party made gains in Minnesota, Michigan, Pennsylvania and Vermont. Democrats, though, broke the G.O.P. supermajority in North Carolina.

By electing at least 15 Republican Assembly members, voters have given Mr. Lombardo some leverage. He needs to use it.

Michigan Democrats will lose their historic trifecta after Republicans gained a majority in the state House of Representatives.

North Carolina Democratic Gov.-elect Josh Stein’s veto could become more effective than outgoing Gov. Roy Cooper's stamp has been recently, should the margin in a legislative district election hold.

Republicans have tightened their hold on the West Virginia Legislature, notching election wins that will relegate Democrats to an even smaller fraction of the chamber’s 134 seats and giving themselves one of the country’s largest legislative supermajorities.

Just like the 12 other elections this century, it was a good night for Republicans in South Carolina.

New legislative district boundaries didn't pay off quite as well as Wisconsin Democrats hoped for in Tuesday's elections.

The ability of Gov. Joe Lombardo to veto legislation is in play in Tuesday’s election.