Question

solve for y.
8y = 2 + 6(y + 5)
y = \boxed{}

Explanation:

Step1: Expand the right side

First, we expand \(6(y + 5)\) using the distributive property \(a(b + c)=ab+ac\). So, \(6(y + 5)=6y+30\). The equation becomes \(8y = 2+6y + 30\).

Step2: Simplify the right side

Combine like terms on the right side. \(2 + 30=32\), so the equation is \(8y=6y + 32\).

Step3: Subtract \(6y\) from both sides

Subtract \(6y\) from each side to get \(8y-6y=6y + 32-6y\). Simplifying both sides, we have \(2y=32\).

Step4: Solve for \(y\)

Divide both sides by 2: \(\frac{2y}{2}=\frac{32}{2}\), which gives \(y = 16\).

Answer:

\(y = 16\)