TOPEKA, Kan. (AP) — Democratic and moderate Republicans lawmakers worked together last year to try to make Kansas the latest state to expand Medicaid, only to see their bipartisan effort rewarded with a veto from former conservative GOP Gov. Sam Brownback.

The election this month of a governor who supports Medicaid expansion seemed to remove the biggest hurdle for those hoping to bring health coverage to thousands of the state's poor. But it's not that simple.

In the same election that put Democrat Laura Kelly in the governor's office, Kansas voters also elected a more conservative Legislature...