√(6y) = √(36+2y)
Let's just solve it then match.
Squaring both sides; may introduce extraneous solutions.
6y = 36 + 2y
Adding -2y to both sides
4y = 36
Dividing both sides by 4
y = 9
Checking
√((6)(9))=√54
√(36+2(9)) = √54, good
Answer:
6y = 36 + 2y by the squaring property of equality
4y = 36 by the subtraction property of equality
y = 9 by the division property of equality