Gordon's 875 Brushkiller. Works great. I have had to spray some more that once for a total kill, but it will take the leaves off and keep them off for that growing season. If you have one of the Farmers Coop's anywhere close, they always have it. I think I saw some a Tractor Supply, but do not remember.
Not to step on any feeling here , but glyphosate is like applying fertilizer to privet hedge. This is the chemical name that was Roundup before the patent ran out and now there are many different companies selling glyposate under different brands. Most commercial is 41 %. It is a broad leaf weed killer, will do nothing to brush, even in super heavy applications.
A pint of the 875 will kill about 1/4-1/2 acre of privet hedge. Leaves will be gone in 3-5 days if you apply on a hot day and get no rain. make sure to cover all the leaves on your plants. Next years application to the sprouts should take care of the stuff. Even if not, one spraying a year is all that is needed.