Keep your effort below the sweat threshold on the way there. Think walking-effort, not running-effort.

Bikes are about 4x more efficient, so for short and moderate distances, even walking-effort will get you there in reasonable time.

If you sweat at a walking-effort, try dressing lighter or as others have suggested, use wet wipes and spare clothes at work.

You can also consider an e-bike to avoid sweating on the way to work. On the commute home, use less assist if you want more exercise.

Shower beforehand, keep an easy pace and when you arrive, do a quick clean with wet wipes if necessary. Depending on the distance and temperatures where you live, you might want to keep a change of clothes at work. Use panniers instead if you have a backpack to keep the back from sweating up.

I found a gym near my work. You can always cycle slowly from the gym to work.

You can also get an electric bicycle and use less effort so that you don't sweat.

My office has showers. I wouldn't bike to work otherwise. I'm in Austin, so for a few months of the year, just standing outside is enough to start sweating.

Shower beforehand, fresh clothes every day, sport underwear to cool efficiently (it is not visible under typical office clothes), selected clothes to ventilate _gently_ whole body, but to look like normal casual clothes, buff at face in case of cold weather, etc.

Pretend you are walking; move your feet at walking pace and have that be enough to move the pedals without too much force.

You'll still go 3-4x faster than walking, but it'll be the same amount of effort.

I wear a T-shirt (under my jacket in winter) and bring a shirt to change into in my backpack. My T-shirt is usually pretty sweaty but once I change into a fresh shirt it’s fine.

I did this for 2 years, 10 miles in and 10 miles back. There was a shower directly above my office. Everything was super convenient, lost 20 pounds and felt great and rode fast.

Back to driving now, so fed up of the weather here in Seattle to do this during the winter, put the weight back on.

But yes, find someplace to shower. Or, bus in and ride home so you can shower when you get home.

Everything others already said, AND: don't wear a backpack.

Get a cargo rack + Wald folding pannier baskets, and put your cargo there. Ride with a messenger bag, if needed.

Then you'd sweat no more than you would while walking (if cycling at an appropriate pace).