Answer:
\(y=-12x+16\)
Step-by-step explanation:
We have been given an equation \(11-\frac{1}{2}y=3+6x\). We are asked to solve our given equation for y.
Subtract 11 from both sides:
\(11-11-\frac{1}{2}y=3-11+6x\)
\(-\frac{1}{2}y=-8+6x\)
Multiply both sides by -2:
\((-2)-\frac{1}{2}y=-2(-8+6x)\)
\(y=(-2)(-8)+(-2)(6x)\)
\(y=16-12x\)
\(y=-12x+16\)
Therefore, our required equation would be \(y=-12x+16\).
