Question

linear equations w/ distribution (lev 1)
score: 0/3 penalty: none
question
solve.
4(y + 7) = 36

Explanation:

Step1: Apply the distributive property

We start with the equation \( 4(y + 7)=36 \). Using the distributive property \( a(b + c)=ab+ac \), we get:
\( 4\times y+4\times7 = 36 \)
\( 4y + 28=36 \)

Step2: Subtract 28 from both sides

To isolate the term with \( y \), we subtract 28 from both sides of the equation:
\( 4y+28 - 28=36 - 28 \)
\( 4y=8 \)

Step3: Divide both sides by 4

To solve for \( y \), we divide both sides of the equation by 4:
\( \frac{4y}{4}=\frac{8}{4} \)
\( y = 2 \)

Answer:

\( y = 2 \)