Hi Janet,
The damage pattern and the time of year are consistent with what we know about the viburnum leaf beetle. However, these beetles come from a large family of leaf-eating beetles that share a lot of traits, so it's possible that it's not VLB.

Could you look underneath the leaves and see if you can find any larvae. If you do, would you be able to take some close-up/macro photos of them and post them to this question?

Yikes!! I found lots of larvae under the leaves. This photo shows three types (or maybe three stages) of  an insect. 

Oh yea, that looks like VLB. Great photo!

If you haven't read it yet, you'll find a lot of useful info on VLB in this article: https://www.canr.msu.edu/news/keep_your_eyes_open_for_the_viburnum_leaf_beetles

If you decide to manage it with an insecticide, I recommend starting with a pyrethroid. Pyrethroids are a class of reduced-risk insecticides. There are quite a few products on the market available to homeowners. Look for active ingredients that have the suffix "thrin" (e.g. cyfluthrin, permethrin, bifenthrin).

If you're not keen on using a broad spectrum insecticide, then this might be one of those cases where we ask ourselves how much we love this particular plant. If it's going to get mangled every year, then perhaps we should consider replacing it with a more resistant viburnum species/cultivar or a completely different species. You can find some suggestions for resistant viburnums in the article I linked above. Bear in mind that "resistant" doesn't mean "impervious". You might still see some damage.

I'm happy to chat on the phone if you'd like to talk through some ideas. Let me know. =)

Thank you! I’m heading to the store to get some insecticide. My viburnum bushes finally grew large enough to provide the privacy I planted them for, so I hope to save them. 

Understood!

A couple of quick tips:

• The insecticide will need to come into contact with the larvae. This necessitates spraying the underside of leaves.
• There's one one generation per year. Larvae hatch in late April to early May. Keep an eye out next year to get a head start on managing them.
• Larvae pupate in early to mid-June. Adults emerge approximately late June. They will also feed on the leaves, so you'll have to go back and manage them too.
• Adults lay eggs on stems. If you find any, remove them to reduce infestation pressure the following year.

Good luck! Let me know if I can be of further assistance.