The final vote was 218 to 211, largely along party lines, but there is not much hope for it to clear the evenly divided Senate.
Democrats would need at least ten Republican votes, which is highly unlikely as all Republicans strongly oppose the bill.
The legislation would give healthcare providers the right to perform abortions and patients the right to receive them.
Republicans have passed a number of abortion restrictions on the state level including a controversial Texas law that imposes a near-total ban on abortion.
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