Question

Solve the equations:

(7) 6y – 8 = 2 – 5y

Answer 1

6y – 8 = 2 – 5y
Adding 5y to both sides, we obtain:
$\Rightarrow$6y – 8 + 5y = 2 – 5y + 5y
$\Rightarrow$11y – 8 = 2
Adding 8 to both sides, we obtain:
$\Rightarrow$11y – 8 + 8 = 2 + 8
$\Rightarrow$11y = 10
Dividing both sides by 11, we obtain:
$$\begin{gathered} \frac{11y}{11}=\frac{10}{11} \\ \Rightarrow y=\frac{10}{11} \end{gathered}$$