That sounds like adult acne which is usually hormonal because female hormone levels begin to taper off around 30 and human growth hormones begin to drop.
i would recommend the following:
1. visit to the doctor just to rule out anything, as sometimes your skin will be trying to tell you about your internal health
2. cleanse with a face wash with salicylic acid like Una Brennan superfacialist
3. exfoliate - either with diamond microdermabrasion or a gentle peel (not the microbeads)
4. drink lots of water (obvious one but essential)
5. get a skin analysis (love a Visia) and find out your skins needs etc, i would use 2 serums high in antioxidants like vitamin C
6. use LED therapy to treat and get rid of your acne - either go to a salon for a treatment or a home use device - we specialize in this so let me know if you need any help with how LED therapy works.
7. change up your skincare (if you're not already) - you now need to be using more effective skincare based on vitamins, antioxidants etc - i like the brands skincueticals or la roche posay
Hope this helps, if you need any more advice to let me know
Best Regards,
Mel