46/100-y=2/100+24/100

To solve the equation \( \frac{46}{100} - y = \frac{2}{100} + \frac{24}{100} \), follow these steps: 1. **Combine the fractions on the right side of the equation**: \[ \frac{2}{100} + \frac{24}{100} = \frac{2 + 24}{100} = \frac{26}{100} \] So the equation now looks like: \[ \frac{46}{100} - y = \frac{26}{100} \] 2. **Isolate \( y \)** by moving \( y \) to one side and the fraction to the other: \[ -y = \frac{26}{100} - \frac{46}{100} \] 3. **Subtract the fractions**: \[ -y = \frac{26 - 46}{100} = \frac{-20}{100} \] This simplifies to: \[ -y = -\frac{1}{5} \] 4. **Multiply through by -1**: \[ y = \frac{1}{5} \] So, the solution to the equation is: \[ y = \frac{1}{5} \]