Answer:
B. x=2wy+y-1
Step-by-step explanation:
The given equation is
[tex] \frac{2x+2}{y}=4w+2[/tex]
We multiply through by y
[tex] \implies y \times \frac{2x+2}{y}=y(4w+2)[/tex]
[tex]\implies 2x+2=y(4w+2)[/tex]
Moreover,we expand the parentheses at the right side of the equation to get
[tex]\implies 2x+2=4wy+2y[/tex]
we then subtract 2 from both sides of the equation to arrive at
[tex]2x=4wy+2y-2[/tex]
we finally divide through by 2
[tex] \frac{2x}{2}= \frac{4wy}{2}+ \frac{2y}{2}-\frac{2}{2} [/tex]
[tex] \implies x=2wy+y-1[/tex]
Therefore the value of x=2wy+y-1
