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\sqrt{y-9}-3-\left(-3\right)=3-\left(-3\right)
Add 3 to both sides of the equation.
\sqrt{y-9}=3-\left(-3\right)
Subtracting -3 from itself leaves 0.
\sqrt{y-9}=6
Subtract -3 from 3.
y-9=36
Square both sides of the equation.
y-9-\left(-9\right)=36-\left(-9\right)
Add 9 to both sides of the equation.
y=36-\left(-9\right)
Subtracting -9 from itself leaves 0.
y=45
Subtract -9 from 36.