Question

solve for y.
-7(y + 4) = -5y - 40
simplify your answer as much as possible.
y =

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b + c)=ab+ac\), we have \(-7(y + 4)=-7y-28\). So the equation becomes \(-7y - 28=-5y-40\).

Step2: Move variable terms to one side

Add \(7y\) to both sides: \(-28 = 2y-40\).

Step3: Move constant terms to the other side

Add \(40\) to both sides: \(12 = 2y\).

Step4: Solve for y

Divide both sides by \(2\): \(y=\frac{12}{2}=6\).

Answer:

6