Using absolute value | 2y - 5| - 5=0 what is the solution set using set notation

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Evaluate the two possibilities:
Possibility 1 - If the quantity inside the absolute value symbol happens to be positive, we can simply remove the absolute value symbol and write the equation as:
2y-5 = 5
y = 5

Possibility 2 - If the quantity inside the absolute value symbol happens to be negative, we can remove the absolute value sign by changing the sign of the inside quantity and writing the equation as:
-(2y-5) = 5
y = 0

So the solution set is {5,0}
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