Question

solve for y.
6y - 16 = 4(y - 7)
simplify your answer as much as possible.

Explanation:

Step1: Expand the right side

Using the distributive property \(a(b - c)=ab - ac\), we expand \(4(y - 7)\) to get \(4y-28\). So the equation becomes \(6y - 16=4y - 28\).

Step2: Subtract \(4y\) from both sides

Subtracting \(4y\) from each side: \(6y-4y - 16=4y-4y - 28\), which simplifies to \(2y - 16=-28\).

Step3: Add 16 to both sides

Adding 16 to both sides: \(2y-16 + 16=-28 + 16\), so \(2y=-12\).

Step4: Divide by 2

Dividing both sides by 2: \(\frac{2y}{2}=\frac{-12}{2}\), which gives \(y = - 6\).

Answer:

\(y=-6\)