6y + 11x = -9

(a) Solve the equation for y. (Do not use mixed numbers in your answer.)
y =

6y = -9 - 11x

y = (-9 - 11x)/6

To solve the equation for y, we need to isolate y on one side of the equation. Let's follow these steps:

1. Start with the equation: 6y + 11x = -9

2. To isolate y, we need to get rid of the term with x. We can do this by subtracting 11x from both sides of the equation:
6y + 11x - 11x = -9 - 11x
6y = -9 - 11x

3. Now, we can isolate y by dividing both sides of the equation by 6:
(6y) / 6 = (-9 - 11x) / 6
y = (-9 - 11x) / 6

So, the equation y = (-9 - 11x) / 6 is the solution for y.