This document contains the step-by-step work to solve the equation 9x + 2y = 18 for y. It begins with the original equation, subtracts 9x from both sides, and then divides both sides by 2 to isolate y, resulting in the solution y = -9x/2 + 9.

1. 9x + 2y = 18

2. 9x + 2y = 18

3. 9x + 2y = 18
-9x
-9x

4. 9x + 2y = 18
-9x
-9x
2y = - 9x + 18

5. 9x + 2y = 18
-9x
-9x
2y = - 9x + 18
2
2
2

6. 9x + 2y = 18
-9x
-9x
2y = - 9x + 18
2
2
2
y = - 9x + 9
2