Of course! Let's solve the equation step by step.
We are given the equation:
[tex]\[
\frac{y}{5} + 9 = 6
\][/tex]
First, we want to isolate the term with [tex]\( y \)[/tex]. To do that, we subtract 9 from both sides of the equation:
[tex]\[
\frac{y}{5} + 9 - 9 = 6 - 9
\][/tex]
This simplifies to:
[tex]\[
\frac{y}{5} = -3
\][/tex]
Next, we need to solve for [tex]\( y \)[/tex]. To do this, we will multiply both sides of the equation by 5 to eliminate the fraction:
[tex]\[
5 \cdot \frac{y}{5} = -3 \cdot 5
\][/tex]
This simplifies to:
[tex]\[
y = -15
\][/tex]
So, the solution to the equation [tex]\( \frac{y}{5} + 9 = 6 \)[/tex] is:
[tex]\[
y = -15
\][/tex]
