If \(\frac{\sqrt{6y+2}}{\sqrt{2y}}=\frac52\), solve for y. Express your answer in simplest fractional form.
square both sides of the equation to get
(6y+2)/2y = 25/4
6y+2 = 50y/4 multiply by 4 to make things easier
24y +8 = 50y
8 = 26y
y = 8/26 = 4/13