1. 9y - 4(y + 1) = 31
1. 9y - 4(y + 1) = 31
Answer
Explanation:
Step1: Expand the expression
$$ \begin{align*} 9y-4(y + 1)&=31\ 9y-(4y+4)&=31\ 9y - 4y-4&=31 \end{align*} $$
Step2: Combine like - terms
$$ \begin{align*} (9y-4y)-4&=31\ 5y-4&=31 \end{align*} $$
Step3: Isolate the variable term
Add (4) to both sides of the equation: $$ \begin{align*} 5y-4 + 4&=31+4\ 5y&=35 \end{align*} $$
Step4: Solve for (y)
Divide both sides by (5): $$ \begin{align*} \frac{5y}{5}&=\frac{35}{5}\ y&=7 \end{align*} $$
Answer:
(y = 7)