To solve the given equation and verify the solution, follow these steps:
1. Starting Equation:
[tex]\[
\frac{y}{3} = -6
\][/tex]
2. Given:
[tex]\[
y = -18
\][/tex]
3. Substitute [tex]\( y \)[/tex] in the original equation:
Substitute [tex]\( y = -18 \)[/tex] into the left-hand side of the equation:
[tex]\[
\frac{-18}{3}
\][/tex]
4. Simplify the Left-Hand Side:
Perform the division:
[tex]\[
\frac{-18}{3} = -6
\][/tex]
5. Check the Result:
The left-hand side simplifies to [tex]\(-6\)[/tex], which matches the right-hand side of the original equation:
[tex]\[
-6 = -6
\][/tex]
6. Conclusion:
Since substituting [tex]\( y = -18 \)[/tex] into the equation [tex]\(\frac{y}{3} = -6\)[/tex] results in a true statement, [tex]\( y = -18 \)[/tex] is a correct solution.
Therefore, the solution to the equation [tex]\(\frac{y}{3} = -6\)[/tex] is [tex]\( y = -18 \)[/tex].
