Question

solve for y.
24 = 3(y + 4) + 3y
simplify your answer as much as possible.
y = \square

Explanation:

Step1: Distribute the 3

First, we distribute the 3 in \(3(y + 4)\) using the distributive property \(a(b + c)=ab+ac\). So we get:
\(24 = 3y+12 + 3y\)

Step2: Combine like terms

Next, we combine the like terms \(3y\) and \(3y\) on the right - hand side. \(3y+3y = 6y\), so the equation becomes:
\(24=6y + 12\)

Step3: Subtract 12 from both sides

We want to isolate the term with \(y\). Subtract 12 from both sides of the equation:
\(24-12=6y+12 - 12\)
\(12 = 6y\)

Step4: Divide both sides by 6

To solve for \(y\), we divide both sides of the equation by 6:
\(\frac{12}{6}=\frac{6y}{6}\)
\(2=y\)

Answer:

\(y = 2\)