# If you'd like to omit non-matching lines from the result; add ';d' to the end of the expression.
sed -E 's/(?:^|\s)_my-cookie-key\=([^\;]+)/$1/mg;t' <<< "_my-cookie-key=expected value; _key2=value 2; key3=value 3;
_key1=value 1; _my-cookie-key=expected value; key3=value 3;
_key1=value 1; key2=value 2; _my-cookie-key=expected value;"
Please keep in mind that these code samples are automatically generated and are not guaranteed to work. If you find any syntax errors, feel free to submit a bug report. For a full regex reference for SED, please visit: https://www.gnu.org/software/sed/manual/html_node/The-_0022s_0022-Command.html