SOLUTION: {{{-14/(2y+1) +5=y}}}

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Question 891959: -14%2F%282y%2B1%29+%2B5=y

Answer by regularasdf(2) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply both sides of the equation by 2y + 1 to eliminate the fraction
%282y%2B1%29%2A%28-14%2F%282y%2B1%29%29%2B5%282y%2B1%29=y%282y%2B1%29
-14%2B10y%2B5=2y%5E2+%2By
Changing to standard form
2y%5E2+-9y+%2B9=0
Using the quadratic formula:
x=%289+%2B-+sqrt%2881-72%29%29%2F4
x=%289+%2B-+sqrt%289%29%2F4%29
x=%28%289+%2B-+3%29%2F4%29
x=+3 and x=+3%2F2