Question

2y - \frac{3}{5} = \frac{1}{2}

Explanation:

Step1: Add $\frac{3}{5}$ to both sides

To isolate the term with \( y \), we add \(\frac{3}{5}\) to both sides of the equation \( 2y - \frac{3}{5} = \frac{1}{2} \). This gives us \( 2y = \frac{1}{2} + \frac{3}{5} \).

Step2: Find a common denominator and add the fractions

The common denominator of 2 and 5 is 10. So, \(\frac{1}{2} = \frac{5}{10}\) and \(\frac{3}{5} = \frac{6}{10}\). Adding these together, we get \( 2y = \frac{5}{10} + \frac{6}{10} = \frac{11}{10} \).

Step3: Divide both sides by 2

To solve for \( y \), we divide both sides of the equation \( 2y = \frac{11}{10} \) by 2. This is the same as multiplying both sides by \(\frac{1}{2}\), so \( y = \frac{11}{10} \times \frac{1}{2} = \frac{11}{20} \).

Answer:

\( y = \frac{11}{20} \)