Solve for Y.... y - m= wy?

Question

The answer is the following

m
______

1 - w

How does this work??? I can't can't remember how to do this. Thnx

Answer 1

y - m = wy
y - wy = m
y(1-w) = m
y = m/(1-w)

Answer 2

Take it one step at a time:

First subtract wy from both sides and add m to both sides:

y - wy = m {That was actually two steps :-}

Now, factor out the y from the left side:

y (1 - w) = m

Now, divide both sides by (1 - w):

y = m/(1 - w)

the end.

Answer 3

y-m= wy
subtract y from to sides
-m=wy-y
divive -1 from both sides
m= -wy+y
take out the y
m= (-w+1)y
divide (-w+1)
y= m over -w+1

Answer 4

All the solutions posted have the same flaw: they've divided by 1-w which could be zero.

There's two solutions,

when w=1, then m=0 is the missing solution

Answer 5

y-m=wy
-y -y
-m=wy - y
-m=y(w-1)
divide both sides by (w-1)
(-m/(w-1)) = y

wich is the same answer that u wrote above :)

Answer 6

y-m = wy

(y-m)/y = w -- divide each side by y

(y/y) -(m/y) = w -- separate the fraction on the left hand side

1 - (m/y) = w -- simply fractions

-(m/y) = w-1 -- subtract one from each side

(m/y) = 1-w -- multiple each side by -1

(y/m) = 1/(1-w) -- take the reciprocal of each side

y = m/(1-w) -- multiple each side by m