1st step: we multiply the equation by (4-y) and we get: x(4-y)=(2y-1) 2nd step: we bring the equation to the form: 4x-xy=2y-1 3rd step: now we isolate all the y terms on the same side: 2y+xy=4x+1 4th step: we factorise to get: y(2+x)=4x+1 5th step: finally, we divide the equation by (2+x): y=(4x+1)/(2+x) Therefore, the solution is y=(4x+1)/(2+x)