>- Many people would ask ***like*** this question: why am I here?
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One of my friend told me that i should omit like , but he didn't tell my why.
Is the sentence with like grammatically or meaningfully correct or not? 
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And if i should cross ***like*** out, why i must do that? 
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What I meant by "like" is maybe they would ask themselves a question identical to this question or similar.