Answer:
y = 32
Step-by-step explanation:
sqrt(2y) +3 = 11
Subtract 3 from each side
sqrt(2y) +3-3 = 11-3
sqrt(2y) = 8
Square each side
(sqrt(2y))^2 = 8^2
2y = 64
Divide by 2
2y/2 = 64/2
[tex]\sqrt{2y}+3=11\\\\\sqrt{2y}=11-3\\\\\sqrt{2y}=8\\\\(\sqrt{2y})^2=8^{2}\\\\2y=64\\\\y=\dfrac{64}{2}\\\\y=32[/tex]
