See https://smartasset.com/taxes/california-tax-calculator
On a $150K income you are going to be paying an effective rate for CA around 7%.
Not sure what MediCal is. You mean Medicare? That's federal.
CA OASDI/EE is 0.9% but you only pay it on the first $100K or so.
If the salary difference of $33k is the difference between gross salary, that $33k is going to be taxed at the marginal tax rate. My guess at a marginal tax rate would be ~40%. Accordingly, that $33k becomes closer to $20k after tax.
Edit: to clarify, consider a Seattle salary of $100k and a Bay Area salary of $133k. The take-home salary for each location would be:
Seattle : $100k*(1-0.4) = $60k
Bay Area: $130k*(1-0.4) = $78k
Leaving $19.8k in additional income to cover the median rent increase of $18k annually.Works out to $9k according to this for a single filer: https://smartasset.com/taxes/california-tax-calculator#8TRRj... -- so your additional income is more like $11k, or just under $1k / mo. In my experience, the difference in housing is far more than $1k/mo, so you come out ahead in Seattle.
EDIT: Looks like I forgot about California's other taxes on payroll, so it's actually even more in Seattle's favor.
Sounds high for Seattle.
[0] http://blog.harterrt.com/is-moving-to-the-bay-area-worth-it....
I incorrectly multiplied the tax rate to the salary difference, and said that this was a 5$ difference. This is totally wrong (as multiple people point out below). I'll leave my original embarrassing comment as a cation to not write stupid things :)
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I just added in a mention of the tax difference. But the numbers are 13.3% in CA vs 0% in WA. That's significant, for sure. But 13% tax on $33k is about $5k. I don't think that changes the conclusion that the salary difference does (in many cases) cover the housing costs.
You're likely correct about the price for a similarly sized home. People who want large homes should probably not move to the Bay Area.