y+1/3 = 2

Question

Here is an algebra ,machine. The algebra column shows what happens to the unknown.
Solve the equation

Answer 1

To solve the equation \( y + \frac{1}{3} = 2 \), you need to isolate \( y \). Here are the steps:

1. Subtract \( \frac{1}{3} \) from both sides of the equation:

\[ y + \frac{1}{3} - \frac{1}{3} = 2 - \frac{1}{3} \]

This simplifies to:

\[ y = 2 - \frac{1}{3} \]

2. To perform the subtraction, convert 2 to a fraction with a denominator of 3:

\[ 2 = \frac{6}{3} \]

So now subtract:

\[ y = \frac{6}{3} - \frac{1}{3} = \frac{6 - 1}{3} = \frac{5}{3} \]

Thus, the solution to the equation is:

\[ y = \frac{5}{3} \]