How would I solve this equation for the variable y?
m = 2/5 y + n

Question

How would I solve this equation for the variable y?
m = 2/5 y + n

geerky42 · Answer

try to isolate y. can you do it?

anonymous · Answer

I think I would subtract n first? I'm not sure though..

geerky42 · Answer

exactly. do it, then you got m - n = 2/5 y

y is still not isolated yet. do you know what to do?

anonymous · Answer

I know I need to somehow get rid of the 2/5, but I don't know how I would do that.

geerky42 · Answer

first, we get rid of denominator. just multiply both sides by 5.

$$m - n = \frac{2}{5}y \rightarrow 5(m- n)=2y $$
is this clear? do you know what to do next?

anonymous · Answer

Okay. So it would then be 5 (m - n) = 2y

And I would divide both sides by two..?

geerky42 · Answer

correct 
then simply left side of the equation

does this make sense?

anonymous · Answer

How could the left side be simplified?

anonymous · Answer

I understand it up to that point.

geerky42 · Answer

i mean simply this: 
$$\frac{5(m-n)}{2}$$

anonymous · Answer

Ohh okay. Misread it. xD

Thank you so much for your help!

geerky42 · Answer

glad i helped :)