Alright, let's solve the given equation step by step. The equation to solve is:
[tex]\[ -11 = -22 + \frac{y}{5} \][/tex]
1. Isolate the [tex]\( y \)[/tex] term:
To eliminate the constant term on the right side, we need to add 22 to both sides of the equation. This way, we can isolate the term containing [tex]\( y \)[/tex].
[tex]\[ -11 + 22 = -22 + \frac{y}{5} + 22 \][/tex]
Simplifying this, we get:
[tex]\[ 11 = \frac{y}{5} \][/tex]
2. Eliminate the denominator:
To solve for [tex]\( y \)[/tex], we need to remove the fraction. Since [tex]\( y \)[/tex] is divided by 5, we can multiply both sides of the equation by 5 to eliminate the denominator.
[tex]\[ 11 \times 5 = \frac{y}{5} \times 5 \][/tex]
Simplifying this, we get:
[tex]\[ 55 = y \][/tex]
Therefore, the solution to the equation [tex]\( -11 = -22 + \frac{y}{5} \)[/tex] is [tex]\( y = 55 \)[/tex].
