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A bus company has called lawmakers in New York asking for an exemption. A mayor in New Jersey warned drivers they might be tolled twice when they leave the state. Truckers are putting together a lobbying strategy. And taxi drivers have written a letter to Gov. Andrew M. Cuomo seeking a reprieve.

One battle over congestion pricing is over. But now that the plan is officially coming to New York City, the next fight has begun: Who will pay, how much will it cost and who might get a break?

The outcry began almost immediately after Mr. Cuomo and state lawmakers reached a deal last weekend to make New York the first city in the country to enact congestion pricing. Starting in 2021, drivers entering the heart of Manhattan could pay $11 to $25, money that will be used to pay for improvements to the city’s troubled subway.

State leaders were careful to avoid including too many details in the legislation, in part over concerns that it would be harder to pass. Instead, they left many of the difficult decisions to the Metropolitan Transportation Authority and a yet-to-be-appointed six-member “traffic mobility review” board.