Question

Solve each equation. Check your solution.

$27=-9\left(y+5\right)$

Short answer

The required answer is $-8$.

Step-by-step solution

Step 1- Simplify right side of the equation

Use the distributive property $a\left(b+c\right)=ab+ac$ on left side the original equation.

$27=-9y-45$

Step 2- Isolate the variable y

Perform addition of 45 on both the sides of the equation.

$\begin{array}{c}27+45=-9y-45+45\\ 72=-9y\end{array}$

Perform division of -9 on both sides of the equation.

$\begin{array}{c}\frac{72}{-9}=\frac{-9y}{-9}\\ y=-8\end{array}$

– Check the obtained value 

Substitute the obtained value of y into the original equation and perform simplification for checking.

$\begin{array}{l}27\stackrel{?}{=}-9\left(-8+5\right)\\ 27\stackrel{?}{=}-9\left(-3\right)\\ 27=27\end{array}$

Step 4- Make the conclusion

As the checking results in equal values on both the sides on substation of obtained value which means that obtained value is correct.