The Congressional Budget Office released an estimate Wednesday night saying the Republican plan to repeal just a few major pieces of Obamacare would leave 16 million more people without health insurance over the next decade.

The analysis said there will be 28 million people uninsured under current law and said that would grow to 44 million under the so-called skinny Obamacare repeal plan.

Democrats who requested the analysis said they were also told that health insurance premiums would soar over the next decade.

That combination of factors will likely make it even harder for Republicans to settle on a "skinny" repeal bill. Under that plan, Republicans would eliminate Obamacare's insurance mandates and would repeal the medical device tax.

According to CBO, federal spending would fall under the plan, and revenues would not fall as much, so the deficit over the next decade would fall by $130 billion.

Some Republicans are seeing the "skinny" repeal of Obamacare as a possible way out of their struggle to pass some kind of repeal bill.