Question

Find the value of 5y - 6 given that -4y - 7= 9. Simplify your answer as much as possible.

Answer 1

Given that:

$-4y-7=9$

We are told to find 5y - 6

Solving for y

$-4y-7=9$

Add 7 to both sides

$\begin{gathered} -4y-7+7=9+7 \\ -4y+0=16 \\ -4y=16 \end{gathered}$

Divide both sides by -4

$\begin{gathered} \frac{-4y}{-4}=\frac{16}{-4} \\ y=-4 \end{gathered}$

Let us now solve for 5y - 6 by substituting y = -4

$\begin{gathered} 5y-6 \\ 5(-4)-6 \\ -20-6=-26 \\ \therefore5y-6=-26 \end{gathered}$

Hence,

$5y-6=-26$