SOLUTION: sqrt of 2y + 7 + 4 = y {{{sqrt(2y + 7) + 4 = y }}}

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Question 47724: sqrt of 2y + 7 + 4 = y
sqrt%282y+%2B+7%29+%2B+4+=+y+
Answer by pizza(14) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282y+%2B+7%29+%2B+4+=+y+
First, hopefully, I understooed the question correctly.
Assuming you already know some algebraic manipulation, what you have to do here is to put the square root to one side. That is,
sqrt%282y%2B7%29+=+y+-+4
Then you can square both sides to get
2y+%2B+7+=+y%5E2+-+8y+%2B16+
which simplifies to become
y%5E2+-+10y+%2B+9+=+0+
which factorises to become
+%28y-9%29%28y-1%29+=+0+
which means y = 1 or 9.