Question

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

Answer 1

`11-(1)/(2)y=3+6x\ \ \ \ \ |subtract\ 11\ from\ both\ sides\\\\-(1)/(2)y=-8+6x\ \ \ \ \ |change\ signs\\\\(1)/(2)y=8-6x\ \ \ \ \ |multiply\ both\ sides\ by\ 2\\\\y=4-3x`

Answer 2

The value of the provided equation for y is
`y=-12x+16`.

Explanation:

Consider the provided equation.

`11-(1)/(2)y=3+6x`

We need to solve the above equation for y.

Subtract 11 from both the sides.

`11-11-(1)/(2)y=3-11+6x`

`-(1)/(2)y=6x-8`

Multiply both the sides by -2

`-(1)/(2)y* -2=-2(6x-8)`

`y=-12x+16`

Hence, the value of the provided equation for y is
`y=-12x+16`.