Question

Solve the equation. Check your solution.

$-110=12y+10y$

Short answer

Solution of given equation is $y=-5$.

Step-by-step solution

Step-1- Solve the equation for y

$-110=12y+10y$

On simplifying, we get

$22y=-110$

Dividing with $22$on both sides, we get

$\begin{array}{c}\frac{22y}{22}=\frac{-110}{22}\\ y=\frac{-110}{22}\\ y=-5\end{array}$

$y=-5$

Step-2-Verification of our solution

For checking our answer, substitute $y=-5$ in given equation $-110=12y+10y$.

On substituting, we get

$\begin{array}{c}-110=12y+10y\\ -110=(12\times -5)+(10\times -5)\\ -110=(-60)+(-50)\\ -110=-60-50\\ -110=-110\end{array}$

Step-3- Conclusion

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