Question

solve for y. -9(y + 5)=6y - 30. simplify your answer as much as possible. y =

Explanation:

Step1: Expand the left - hand side

Use the distributive property \(a(b + c)=ab+ac\). So, \(-9(y + 5)=-9y-45\). The equation becomes \(-9y-45 = 6y-30\).

Step2: Move the terms with \(y\) to one side

Add \(9y\) to both sides of the equation: \(-9y + 9y-45=6y + 9y-30\), which simplifies to \(-45 = 15y-30\).

Step3: Move the constant terms to one side

Add 30 to both sides: \(-45 + 30=15y-30 + 30\), resulting in \(-15 = 15y\).

Step4: Solve for \(y\)

Divide both sides by 15: \(\frac{-15}{15}=\frac{15y}{15}\), so \(y=-1\).

Answer:

\(y=-1\)