7. 8(y - 7) = -2(y + 3)

Explanation:

Step1: Expandir ambos lados

$$ \begin{align*} 8(y - 7)&=-2(y + 3)\ 8y-56&=-2y - 6 \end{align*} $$

Step2: Sumar (2y) a ambos lados

$$ \begin{align*} 8y+2y-56&=-2y+2y - 6\ 10y-56&=- 6 \end{align*} $$

Step3: Sumar (56) a ambos lados

$$ \begin{align*} 10y-56 + 56&=- 6+56\ 10y&=50 \end{align*} $$

Step4: Dividir por (10)

$$ \begin{align*} \frac{10y}{10}&=\frac{50}{10}\ y&=5 \end{align*} $$

Answer:

(y = 5)