step by step solve the equations
6/y+4 + 1 = 5/2y+8
You should put parentheses around to avoid confusion!
Notice that 2y+8=2*(y+4). Therefore, we can move 5/(2y+8) to the left, by changing its sign and writing it on the left with minus sign. We can also move 1 to the right, again, with sign change.
6/(y+4)-5/(2y+8)=-1; or 12/(2y+8)-5/(2y+8)=-1. Further transformation yields:
7/(2y+8)=-1 or 7=-(2y+8)
7=-2y-8 or 2y=-7-8=-15; y=-15/2=-7.5.