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