SOLUTION: Solve for R=dy/d+y for y

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Question 628901: Solve for R=dy/d+y for y
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
I assume your equation is:
R+=+dy%2F%28d%2By%29
because what you posted means
R+=+dy%2Fd%2By
And in this equation the d's cancel out making this a very simple equation. If my assumption is correct, then please put parentheses around multiple-term denominators (and numerators).

R+=+dy%2F%28d%2By%29
First let's get rid of the fraction. Multiplying both sides by d+y we get:
%28R%29%28d%2By%29+=+%28dy%2F%28d%2By%29%29%28d%2By%29
which simplifies to:
Rd+%2B+Ry+=+dy
Next we get the y terms on one side (and the terms that are not y terms on the other side). We can do this all at once by subtracting Ry from each side:
Rd+=+dy+-+Ry
The terms on the right are not like terms so we cannot subtract them. But they both have a factor of y which we can factor out:
Rd+=+y%28d-R%29
And now we can divide both sides by (d-R):
Rd%2F%28d-R%29+=+y
And, since the y is now all by itself, we are finished!