You could use the WORKDAY.INTL function to add days. Set every day is a weekday, then make a list of all the days that are the 31st of a month as holidays. Like this:
<colgroup><col style="width: 25pxpx"><col><col><col><col></colgroup><thead>
</thead><tbody>
[TD="align: center"]1[/TD]
[TD="align: right"]25-May[/TD]
[TD="align: right"]31-May[/TD]
[TD="align: right"][/TD]
[TD="align: right"]31-Jan[/TD]
[TD="align: center"]2[/TD]
[TD="align: right"][/TD]
[TD="align: right"]1-Jun[/TD]
[TD="align: right"][/TD]
[TD="align: right"]31-Mar[/TD]
[TD="align: center"]3[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"]31-May[/TD]
[TD="align: center"]4[/TD]
[TD="align: right"]27-Feb[/TD]
[TD="align: right"]5-Mar[/TD]
[TD="align: right"][/TD]
[TD="align: right"]31-Jul[/TD]
[TD="align: center"]5[/TD]
[TD="align: right"][/TD]
[TD="align: right"]5-Mar[/TD]
[TD="align: right"][/TD]
[TD="align: right"]31-Aug[/TD]
[TD="align: center"]6[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"]31-Oct[/TD]
[TD="align: center"]7[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"]31-Dec[/TD]
</tbody>
Sheet1
[TABLE="width: 85%"]
<tbody>[TR]
[TD]
Worksheet Formulas[TABLE="width: 100%"]
<thead>[TR="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]
[TH="width: 10px"]Cell[/TH]
[TH="align: left"]Formula[/TH]
[/TR]
</thead><tbody>[TR]
[TH="width: 10px, bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]L1[/TH]
[TD="align: left"]=K1+6[/TD]
[/TR]
[TR]
[TH="width: 10px, bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]L2[/TH]
[TD="align: left"]=WORKDAY.INTL(
K1,6,"0000000",N1:N7)[/TD]
[/TR]
[TR]
[TH="width: 10px, bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]L4[/TH]
[TD="align: left"]=K4+6[/TD]
[/TR]
[TR]
[TH="width: 10px, bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]L5[/TH]
[TD="align: left"]=WORKDAY.INTL(
K4,6,"0000000",N1:N7)[/TD]
[/TR]
</tbody>[/TABLE]
[/TD]
[/TR]
</tbody>[/TABLE]
The problem is February, I'm not sure how to handle that.