Activists cheer in front of the Supreme Court last week after the justices ruled in favor of the Affordable Care Act . (Bill O'Leary/The Washington Post)

Twice as many Americans support the Supreme Court’s decision last week to uphold a key provision of the health-care law as are opposed, according to a poll released Wednesday.

When told that the court ruled to allow Americans to continue receiving subsidies to afford health insurance in all states, about 6 in 10 surveyed said they approve of the decision while about one-third disapprove, according to the latest tracking poll by the Kaiser Family Foundation.

Although Democrats were more likely to approve of the decision, even among Republicans and those who view the Affordable Care Act unfavorably, about 3 in 10 say they approve of the court’s decision.

The ruling in the court case, King v. Burwell, doesn’t appear to have changed the public’s overall views of the law, at least not yet. Opinion remains pretty evenly divided (43 percent favorable, 40 percent unfavorable), as it has been for the past several months, the poll found.

(Kaiser Family Foundation Health Tracking Poll)

The poll showed that the public’s understanding of the ruling was “at a gut level” about fairness, Drew Altman, Kaiser Family Foundation’s president and chief executive, said at a panel discussion Wednesday about what comes next after the decision.

Referring to the public’s reaction, he said people didn’t understand why residents could get subsidies in some states and not in other states. The justices said in a 6-3 ruling that the subsidies that 6.4 million people currently receive do not depend on where they live, as challengers to the law contended.

Still, most Americans don’t think President Obama’s signature domestic achievement has cleared its last big hurdle; just 18 percent think the recent debate over who can receive financial help under the law was the last major battle over the ACA, while nearly 8 in 10 think there will be more major battles about the law in the future.

Half (51 percent) think it’s important to continue the debate, while 44 percent say they are tired of hearing about the law and think the country should focus more on other issues.

Public approval of the decision is higher than it was after the 2012 Supreme Court ruling that upheld most major provisions of the Affordable Care Act. About half (47 percent) approved and 43 percent disapproved according to Kaiser’s June 2012 tracking poll.

When it comes to the next steps Americans would like to see Congress take on the ACA, the public is as divided as ever, with a quarter (25 percent) saying they want lawmakers to expand what the law does, a similar share (27 percent) saying they want a full repeal, and the rest falling in the middle of these two extremes.

(Kaiser Family Foundation Health Tracking Poll)

The poll was conducted from June 25-29 among a nationally representative random telephone sample of 1,202 adults. Interviews were conducted in English and Spanish by landline and cellphone. The margin of sampling error is plus or minus three percentage points for the full sample.