Verified Answer :

3(4y + 8) = -12

First, divide both sides by 3. / Your problem should look like: \(4y + 8 = -\frac{12}{3}\)
Second, since 4 goes into 3 to get 12, simplify \(\frac{12}{3}\) to 4. / Your problem should look like: \(4y + 8 = -4\)
Third, subtract 8 from both sides. / Your problem should look like: \(4y = -4 - 8\)
Fourth, subtract -4 - 8 to get -12. / Your problem should look like: \(4y = -12\)
Fifth, divide both sides by 4. / Your problem should look like: \(y = -\frac{12}{4}\)
Sixth, simplify \(\frac{12}{4}\) to 3. / Your problem should look like: \(y = -3\)

Answer: y = -3

3(4y+8)=−12

(3)(4y)+(3)(8)=−12(Distribute)

12y+24=−12

Subtract 24 from both sides.

12y+24−24=−12−24

12y=−36

Divide both sides by 12.

12y/12=−36/12

y=−3