The committee approved House Bill 7005 on a party-line vote, according to the news source. Similar legislation is reportedly moving to the state Senate.
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Additionally, the new measure would reportedly enable employers to fire workers who are repeatedly late and would not allow such employees to collect benefits, according to the news provider.
Critics of the legislation, including state Democrats, say that the new bill would make it even more difficult for those searching for jobs in a tough economy.
"We saw this train coming for two years...and suddenly, we pushed the employer out of the way and we pushed the employee in front of the train," said Representative Scott Randolph, a Democrat from Orlando.
Randolph was initially elected to the Florida House of Representatives in 2006, according to the legislature's Web site.