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\sqrt{y-8}+5-5=7-5
Subtract 5 from both sides of the equation.
\sqrt{y-8}=7-5
Subtracting 5 from itself leaves 0.
\sqrt{y-8}=2
Subtract 5 from 7.
y-8=4
Square both sides of the equation.
y-8-\left(-8\right)=4-\left(-8\right)
Add 8 to both sides of the equation.
y=4-\left(-8\right)
Subtracting -8 from itself leaves 0.
y=12
Subtract -8 from 4.