Question

Solve the equation. Check your solution.

$-5=-17+y+8$

Short answer

Solution of given equation is$y=4$.

Step-by-step solution

. Using subtraction property of equality

$-5=-17+y+8$

$-5=-9+y$

.Solving for value of y

Adding9 on both sides, we get

$\begin{array}{c}-5+9=y-9+9\\ y=9-5\\ y=4\end{array}$

$y=4$

.Verification of our solution

For checking our answer, substitute$y=4$in given equation$-5=-17+y+8$.

On substituting, we get

$\begin{array}{l}-5=-17+4+8\\ -5=-17+12\\ -5=-5\end{array}$

Here, as both sides above expression are equal, our answer is true.