SOLUTION: Solve for Y (Please show work:) Square root of 7y+4 = Square root y-2

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Question 317974: Solve for Y (Please show work:)
Square root of 7y+4 = Square root y-2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for Y:
sqrt%287Y%2B4%29+=+sqrt%28Y-2%29 Square both sides.
7Y%2B4+=+Y-2 Subtract Y from both sides.
6Y%2B4+=+-2 Subtract 4 from both sides.
6Y+=+-6 Divide both sides by 6.
Y+=+-1 Check:
sqrt%287Y%2B4%29+=+sqrt%28Y-2%29 Substitute Y = -1.
sqrt%287%28-1%29%2B4%29+=+sqrt%28-1-2%29 Simplify.
sqrt%28-3%29+=+sqrt%28-3%29