That is a little hard to follow. But of course your tax due should go down. And you have it backwards. Technically the current gain is not applied to the loss carryover. The Capital Loss Carryover is applied to the gain.
You get to first offset the loss against any gains you have each year so that can use more of it up. Then after applying the loss to the current gains you can take a max loss of 3,000 (1,500 MFS)per year. Turbo Tax does all the calculations for you. Just enter the prior year carryover amount.
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