Question

simplify.
2y - 6(-6z + 6y) - 3z

Explanation:

Step1: Distribute -6

We use the distributive property \(a(b + c)=ab+ac\) to expand \(-6(-6z + 6y)\). So we have:
\(2y+(-6)\times(-6z)+(-6)\times(6y)-3z = 2y + 36z-36y-3z\)

Step2: Combine like terms for y

Combine the terms with \(y\): \(2y-36y=(2 - 36)y=-34y\)

Step3: Combine like terms for z

Combine the terms with \(z\): \(36z-3z=(36 - 3)z = 33z\)

Step4: Write the simplified form

Put the combined terms together: \(-34y + 33z\)

Answer:

\(-34y + 33z\)