Answer:
[tex]y=\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]4(y+1)= \frac{3}{1-y}[/tex]
[tex]4y+4= \frac{3}{1-y}[/tex]
[tex](4y+4)(1-y)= 3[/tex]
[tex]4y(1-y)+4(1-y)=3[/tex]
[tex]4y-4y^{2} +4-4y=3[/tex]
[tex]-4y^{2}=3-4[/tex]
[tex]4y^{2}=1[/tex]
[tex]y^{2} = \frac{1}{4}[/tex]
[tex]y=\sqrt{\frac{1}{4} }[/tex]
[tex]y=\frac{1}{2}[/tex]
