Solve the equation 1/3 (y + 7) = 3(y – 1) for y.

To solve the equation (frac{1}{3}(y + 7) = 3(y – 1)), we’ll follow these steps:

1. Eliminate the fraction: Multiply both sides by 3 to get rid of the fraction.

[

y + 7 = 9(y – 1)

]

2. Distribute on the right side:

[

y + 7 = 9y – 9

]

3. Move all terms involving (y) to one side and constant terms to the other side:

[

7 + 9 = 9y – y

]

[

16 = 8y

]

4. Solve for (y):

[

y = frac{16}{8} = 2

]

So, the solution to the equation is (y = 2).

If you have any further questions or need additional help, feel free to ask!