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Solve the equation:

[tex]\[
\begin{array}{l}
\frac{y}{5} + 9 = 6 \\
y = \, ?
\end{array}
\][/tex]


Sagot :

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]