#### Answer

No solution

#### Work Step by Step

Recall, in order to cancel out a square root, we square both sides of the equation. Thus, we square both sides of the equation to obtain that 5y+2=1. We subtract by 2 on both sides and then divide both sides of the equation by 5 to isolate y and obtain: y=-1/5.
We now must check our solution:
$\sqrt{5(-1/5)+2} = -1 \\\\\ \sqrt {1}=-1 \\\\ 1 = -1$
This is not true, so there is no solution.