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Hi Cathy! Glad you saw my comment and also uploaded a sample file, makes life much easier :)
This is the formula that you want:
=VLOOKUP(LEFT(A2,FIND(")",A2,1)),Type!$A$2:$B$24,2,FALSE)
Put it into cell B2 on the Address worksheet and copy it down and it should work.
LEFT(A2,FIND(")",A2,1)) -> this is the part that gets the (L4) type lookup value out on its own for use in the vlookup. You don't need to use any wildcard characters because this pulls in the entire lookup value and you only need the wildcard if the table from which you want to return the value doesn't have a column that exactly matches your lookup value, which is no longer an issue.
If you want to learn more about partial matches anyway, you can look at the tutorial here: Vlookup Partial Match in Excel