The General Assembly confirmed that after 43 straight years of declining membership, the Presbyterian Church (U.S.A.) is now less than half the size it was at its peak in 1967. The pace of losses has actually picked up in the last few years, as entire conservative congregations have left, in addition to the normal negative ratio of new members to deaths.
This General Assembly also passed another attempt to change church rules to say that, contrary to what the Bible appears to say, homosexual practice is not a sin, or at least not enough of a sin to prevent ordination. The last three times such a proposal was passed by the General Assembly and sent to the church as a whole for a vote, it failed.
I do not know whether the liberalizing measure will pass this time. I do know that each time the General Assembly attempts to liberalize the constitution this way, more conservatives give up on the PC(USA) and leave.
At some point, so many conservatives will have left that the liberal constitutional amendment will pass.
I don't think this victory will stabilize the denomination, though. Liberals are pretty bad and having and holding kids in the church, and even worse at evangelizing. Whichever way this particular fight turns out, the Presbyterian Church (USA) is likely to keep dwindling.