I tested these formulas and copied them directly into the post, so I know that they work and provide Saturdays for the entire year.
You can use this formula for any year, but as you can see it results in dates that appear in a text box in one record. Before going too much further, I think you should explain what you want to use these dates for--if for anything other than display. For the past 10 years, you could modify the formulas, making each variable a local variable, and then copy it and create new formulas, changing {?year} to {?year}-1, {?year}-2 etc. Create new display formulas to match these, and place these in the text box.
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