<PRE><B>Question 100671</B>
sqrt(2y+7)+4=y
sqrt(2y+7)=y-4
2y+7=y^2-8y+16 Square both sides.
y^2-10y+9=0 subtract 2y+7 from each side.
(y-9)(y-1)=0
y=9 and y=1
Check:
for x=9: sqrt(2*9+7)+4=9...sqrt(25)+4=9...5+4=9 true
for x=1: sqrt(2+7)+4=1...sqrt(9)+4=1...3+4=1 false
y=9
Ed</PRE>