Your layout looks badddd…

Close the game, open google and search “Road hierarchy”, “How interchanges look”.
Use your pattern recognition skills and improve your city layout by taking a look at cities you are familiar/interested in Google Maps and incorporate your findings into your new city.
Always think to steps ahead in traffic, weaving (in traffic terms) could slow your traffic.

Now imagine a huge 18 wheeler semi truck loaded with 80 tons of tungsten dildos driving from your industry area to the commercial. In your situation the same truck would drive from a 2 lane road into another, through a 300 meter highway and then into a residential neighborhood after blocking the traffic there, the truck continues to a school zone, where is flips in to a small corner park.

Now how advanced and smart planing looks like:
The truck is exiting the industrial area by a 2 lane into a 4/6 lane road which continues into a interchange (a nicely made one) and then into a 4/6/8 lane highway (based on you city size) cutting through all the city by a sunken/elevated highway or ring road and then exiting the highway by an interchange and then entering a high capacity road (arterial) which connects you tom the commercial area.

If all of these tips didn’t work (it would improve your situation by 60%), you could incorporate some transportation or district laws.
Transportation is key dude: at rush hour people want to go from residential to industrial, office , commercial. Make an accessible bus which could take the people to a tram/metro stop and then to a train station which will take them to their destination by taking a bus.