Solve the equation: 7 - y = 3 1/3

Okay, let's solve this equation step-by-step!

1. The equation is:

   \[ 7 - y = 3 \frac{1}{3} \]

2. Our goal is to isolate 'y'. First, let's convert the mixed number to an improper fraction.

   \[ 3 \frac{1}{3} = \frac{(3 \times 3) + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3} \]

3. Now the equation looks like this:

   \[ 7 - y = \frac{10}{3} \]

4. To get 'y' by itself, we can subtract 7 from both sides of the equation.

   \[ -y = \frac{10}{3} - 7 \]

5. To subtract 7 from $$\frac{10}{3}$$, we need a common denominator. 7 can be written as $$\frac{7}{1}$$ or $$\frac{7 \times 3}{1 \times 3} = \frac{21}{3}$$.

   \[ -y = \frac{10}{3} - \frac{21}{3} \]

6. Now perform the subtraction:

   \[ -y = \frac{10 - 21}{3} \] \[ -y = \frac{-11}{3} \]

7. To find 'y', we multiply both sides by -1.

   \[ y = \frac{11}{3} \]

8. We can convert the improper fraction back to a mixed number.

   \[ y = 3 \frac{2}{3} \]

So, the answer is:

Ответ: $$y = 3 \frac{2}{3}$$