So, this is less for OP, but for future readers: First of all, if you have the choice I do not recommend using photoresistors these days. They are harder to find, and also, chances are that you're buying a component that sat on a shelf for 30 years or more; that might or might not matter.
Use phototransistors or photodiodes (that is: every LED works as a photodiode, too, but if you optimize your diode for that, you might get a better sensor than if you just used LEDs). They are cheap and easy to purchase. If you're going to read the values with a microcontroller, anyway, you'd compensate for nonlinearity of the current/irradiation curve for both types of sensors (resistive and semiconductor junction-based) anyway.
I assume your single measurement circuit looks something like:
simulate this circuit – Schematic created using CircuitLab
Since the ADC measures the voltage over Rphoto (or R1, if you switch these two), what it actually measures is the current flowing through Rphoto (because \$U_{Rphoto} = I \cdot Rphoto\$).
Now, instead of trying to multiplex the sensitive analog voltage here, why not simply have four voltage dividers in parallel, with switches on their low side? The resistors that are in "open switch" paths simply don't see any current flowing through them, and thus, don't influence the voltage the ADC sees at all:
simulate this circuit
This way, you can use one ADC input for four resistors. Just do this 8 times – use the same selection line for your your logical group of resistors – and you'll have your 32-to-8 multiplexer.
simulate this circuit
The MOSFETs (Mxx) I used are more or less a random pick – you can use about any transistor you find, as long as its on-state resistance is significantly below 10 kΩ and as long as its Collector-Emitter voltage doesn't vary much within the range of currents that your R1-Rphoto would let through. MOSFETs are a popular choice for transistor applications where you actually just want to switch something "on" or "off", because they have a very low on-resistance and a very high off-resistance.