Question 221284
(4+y)/5=y/z   Solve for y. I don't know how to get rid of the fractions!


Step 1.  Multiply 5z to both sides of the equation to get rid of fractions!


{{{(4+y)/5=y/z}}}


{{{5z(4+y)/5=5z*y/z}}}


{{{4z+yz=5y}}}


Step 2.  Subtract 5y+4z from both sides of the equation


{{{4z+yz-5y-4z=5y-5y-4z}}}


{{{yz-5y=-4z}}}


Step 3.  Factor out 5y on the left side of the equation


{{{y(z-5)=-4z}}}


Step 4.  Divide (z-5) to both sides of the equation


{{{y(z-5)/(z-5)=-4z/(z-5)}}}


{{{y=-4z/(z-5)}}}


Step 5.  ANSWER:  {{{y=4z/(5-z)}}}


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J