Question

linear equations w/ distribution (lev 1)
score: 1/3 penalty: 0.25 off
question
solve.
3(2y + 6) = 42

Explanation:

Step1: Distribute the 3

Using the distributive property \(a(b + c)=ab+ac\), we have \(3\times2y + 3\times6=42\), which simplifies to \(6y+18 = 42\).

Step2: Subtract 18 from both sides

Subtract 18 from each side of the equation: \(6y+18 - 18=42 - 18\), so \(6y=24\).

Step3: Divide by 6

Divide both sides by 6: \(\frac{6y}{6}=\frac{24}{6}\), which gives \(y = 4\).

Answer:

\(y = 4\)