Answer
$y=4x-\frac{1}{2}$
Work Step by Step
The given equation is
$2y+1-x=7x$
Add $x$ to both sides of the equation to get
$2y+1=8x$
Subtract $1$ from both sides of the equation.
Then, we have
$2y=8x-1$
Divide both sides of the equation by $2$.
$\implies y=\frac{8x-1}{2}$
Simplifying, we get
$y=4x-\frac{1}{2}$