Question

11-1/2y=3+6x solve for y

Answer 1

11- \frac{1}{2} y=3+6x

Taking y to the other side;

11-3-6x= \frac{1}{2} y

8-6x= \frac{1}{2}y

Multiply each side by 2

16-12x=y

y=16-12x

Answer 2

So, since we have $11-\frac{2}{y}=3+6x$, and we want to solve for y, that means we should first get y out of the denominator so we can manipulate it better, so multiplying the whole equation by y yields:

$11y-2=y(3+6x)$

So, now we want to bring all the ys to one side and the rest of the variables and constants to the other, that gives us:

$11y-y(3+6x)=2$

Factoring y out of the RHS gives us:

$y(11-(3+6x))=2\implies \\ y(11-3-6x)=2 \implies \\ y(-6x+8)=2$

So, now we want to divide both sides by (-6x+8) to get y by itself:

$y=\frac{2}{-6x+8} \implies y=\frac{1}{-3x+4}$

With that we have solved for y.