7x-2y=19 for y

7x - 2y = 19

2y = 7x - 19
now just divide by 2

7x-2y=19

-2y=19-7x
-2y/-2=19/-2 -7x/-2
y=-9.5 +3.5x

not sure if my work is correct?

correct

To solve the equation 7x - 2y = 19 for y, we need to isolate y on one side of the equation. Here's the step-by-step process:

1. Start with the equation: 7x - 2y = 19.
2. Move the term containing 2y to the other side of the equation by subtracting 7x from both sides: -2y = -7x + 19.
3. To isolate y, divide both sides of the equation by -2: y = (-7x + 19) / -2.
4. Simplify the expression on the right side of the equation if needed.

So, the final equation for y is: y = (-7x + 19) / -2.