Question

solve the literal equation for y. 3(2x + y) = -4x - y y =

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b + c)=ab+ac\), we expand \(3(2x + y)\) to get \(6x+3y\). So the equation becomes \(6x + 3y=-4x - y\).

Step2: Move all x terms to one side and y terms to the other

Subtract \(6x\) from both sides: \(3y=-4x - y-6x\). Combine like terms on the right side: \(3y=-10x - y\). Then add \(y\) to both sides: \(3y + y=-10x\), which simplifies to \(4y=-10x\).

Step3: Solve for y

Divide both sides by 4: \(y=\frac{-10x}{4}\), and simplify the fraction to \(y =-\frac{5}{2}x\).

Answer:

\(y =-\frac{5}{2}x\)