Question: For a language L Sigma* and a string y belongs to Sigma*, the language L_-y = {xz: x belongs to E* and z belongs to

For a language L Sigma* and a string y belongs to

For a language L Sigma* and a string y belongs to Sigma*, the language L_-y = {xz: x belongs to E* and z belongs to E* and xyz belongs to L} consists of all strings in L with the string y deleted from them. Prove that if L is regular, then L_-y is regular. Prove that if L is R.E., then L_-y is R.E

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