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\sqrt{2y-5}+4-4=8-4
Subtract 4 from both sides of the equation.
\sqrt{2y-5}=8-4
Subtracting 4 from itself leaves 0.
\sqrt{2y-5}=4
Subtract 4 from 8.
2y-5=16
Square both sides of the equation.
2y-5-\left(-5\right)=16-\left(-5\right)
Add 5 to both sides of the equation.
2y=16-\left(-5\right)
Subtracting -5 from itself leaves 0.
2y=21
Subtract -5 from 16.
\frac{2y}{2}=\frac{21}{2}
Divide both sides by 2.
y=\frac{21}{2}
Dividing by 2 undoes the multiplication by 2.