gy=-g/v+w for g

[math_celebrity]

gy=-g/v+w for g

Multiply each side of the equation by v to eliminate fractions:
gvy = -g + vw

Add g to each side:
gvy + g = -g + g + vw

Cancel the g's on the right side and we geT:
gvy + g = vw

Factor out g on the left side:
g(vy + 1) = vw

Divide each side of the equation by (vy + 1):
g(vy + 1)/(vy + 1) = vw/(vy + 1)

Cancel the (vy + 1) on the left side and we geT:
g = vw/(vy + 1)