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Associated Press
Rev. Eugene Barnes of Champaign, Ill., and president of Illinois People's Action, joins immigration advocates gathered outside the Senate Judiciary Committee hearing on immigration reform in the Senate Hart Office Building on Capitol Hill in Washington, Monday, April 22, 2013, to recount personal stories of how they were affected by being undocumented in America. (AP Photo/J. Scott Applewhite)

WASHINGTON — Democratic supporters of a new immigration bill accused opponents Monday of trying to "exploit" the Boston Marathon bombings to hold up the legislation, sparking a testy exchange at a Senate hearing.

"I never said that! I never said that!" Sen. Chuck Grassley, R-Iowa, interjected as Sen. Chuck Schumer, D-N.Y., a lead author of the bill, criticized "those who are pointing to what happened, the terrible tragedy in Boston, as a, I would say, excuse for not doing a bill or delaying it."

Schumer said he wasn't talking about Grassley, who said last week that the bombings, allegedly carried out by two immigrant brothers, raised question about gaps in the U.S. immigration system that should be examined in context of the new bill. Senate Judiciary Chairman Patrick Leahy, D-Vt., banged his gavel to settle the proceedings.

The exchange came as the Judiciary Committee opened its second hearing on sweeping immigration legislation.

The obstacles to the legislation, released last week by a group of four Republican and four Democratic senators, were on stark display Monday. Polls show majority public backing for comprehensive legislation including a path to citizenship, and many Republicans also support such an approach. But in some corners, opposition has not wavered. That became clear as GOP senators took turns offering critiques.

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Sen. Ted Cruz, R-Texas, called a path to citizenship "divisive," and said that "any bill that insists upon that jeopardizes the likelihood of passing any immigration reform bill."

Sen. Jeff Sessions, R-Ala., contended that the new bill would drive down wages and eliminate jobs for American workers.

Sen. John Cornyn, R-Texas, said the border security piece of the bill "falls well short of the sponsors' aspiration to protect the borders and maintain U.S. sovereignty."

And Grassley said new requirements mandating employers to verify employees' legal status are ineffective.