Final answer:
To solve the equation ay - by = c for y, divide both sides of the equation by (a - b) to isolate y.
Step-by-step explanation:
To solve the equation ay - by = c for y, we can factor out y on the left side of the equation:
y(a - b) = c
Then, we can divide both sides of the equation by (a - b) to isolate y:
y = c / (a - b)
For example, if a = 5, b = 2, and c = 10, the equation would be y(5) - y(2) = 10, which simplifies to 3y = 10. Dividing both sides by 3 gives y = 10/3.