SOLUTION: Solve for y 2x+5=y-1/y+4 Thank You

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Question 160080: Solve for y
2x+5=y-1/y+4

Thank You
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B5=%28y-1%29%2F%28y%2B4%29 Start with the given equation


%282x%2B5%29%28y%2B4%29=y-1 Multiply both sides by y%2B4


2xy%2B8x%2B5y%2B20=y-1 FOIL


2xy%2B5y=y-1-20-8x Subtract 20 from both sides. Subtract 8x from both sides.


2xy%2B5y-y=-1-20-8x Subtract "y" from both sides.


2xy%2B4y=-8x-21 Combine like terms.


y%282x%2B4%29=-8x-21 Factor out "y" from the left side


y=%28-8x-21%29%2F%282x%2B4%29 Divide both sides by 2x%2B4


So the solution is y=%28-8x-21%29%2F%282x%2B4%29