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\sqrt{y-7}-5-\left(-5\right)=5-\left(-5\right)
Add 5 to both sides of the equation.
\sqrt{y-7}=5-\left(-5\right)
Subtracting -5 from itself leaves 0.
\sqrt{y-7}=10
Subtract -5 from 5.
y-7=100
Square both sides of the equation.
y-7-\left(-7\right)=100-\left(-7\right)
Add 7 to both sides of the equation.
y=100-\left(-7\right)
Subtracting -7 from itself leaves 0.
y=107
Subtract -7 from 100.