minus, 11, equals, minus, 22, plus, start fraction, y, divided by, 5, end fraction

−11=
−22+
5
y

1 answer

To solve the equation \(-11 = -22 + \frac{y}{5}\), we can follow these steps:

  1. Isolate the fraction: Add \(22\) to both sides of the equation to move the constant to the left:

    \[ -11 + 22 = \frac{y}{5} \]

    Simplifying the left side gives:

    \[ 11 = \frac{y}{5} \]

  2. Eliminate the fraction: To get rid of the fraction, multiply both sides by \(5\):

    \[ 11 \times 5 = y \]

    This simplifies to:

    \[ 55 = y \]

So, the solution is:

\[ y = 55 \]