The statewide teachers union called for lawmakers to override Bevin's vetoes of the two-year state budget and revenue bills, which set aside more money for public education than the governor's proposed spending plan.
"That's a bad thing to say, because what it implies is that teachers only care about themselves", said Myers, who is running for the First Congressional District seat being vacated by House Speaker Paul Ryan.
In his initial comments, the Kentucky governor suggested that children had "ingested poison" because they were left home alone after teachers abruptly went on strike at dozens of schools.
Matt Bevin apologized Sunday for saying that children were sexually abused because they were left home alone while teachers rallied to ask lawmakers to override his vetoes.
"I'm sorry for those of you, every single one of you, that has been hurt by things that I've said", Bevin said in the apology video.
He added: 'Children were harmed - some physically, some sexually, some were introduced to drugs for the first time'.
He said of the teachers protesting that he saw "a lot of people hanging out, shoes-off, smoking, leaving trash around, taking the day off".
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Kentucky's Republican-majority home of Representatives passed a bipartisan resolution on Saturday criticizing the Senate'therefore feedback, and also the Republican state Senate president mentioned Bevin should apologize, based on community press.
"But clearly a tremendous number of people did not fully appreciate it what it was that I was communicating", Bevin said in a YouTube video post Sunday afternoon.
"It is my accountability to symbolize you, not exclusively after I'm talking to you, however after I'm talking in your behalf in methods which might be clear, which might be understood, that do not harm folks and do not confuse folks", he stated.
"And so the extent that I do that well, great".
Robin Cooper, an occupational therapist in Fayette County, the state's second-largest public school district, was among the thousands of educators protesting at the Capitol in recent weeks.
And after watching the video Sunday, she said, "Seriously?" 'But it still wasn't an apology. Everyone heard his words. I do not understand how we will misunderstand his intent. So that just kind of makes me angry'.