Question

simplify.
-2x - 2(-3y + 3x) + 3y

Explanation:

Step1: Distribute the -2

We use the distributive property \(a(b + c)=ab+ac\) (here \(a = - 2\), \(b=-3y\), \(c = 3x\)) to expand \(-2(-3y + 3x)\). So we get \(-2\times(-3y)+(-2)\times(3x)=6y-6x\). The expression becomes \(-2x + 6y-6x+3y\).

Step2: Combine like terms for x

Combine the \(x\)-terms: \(-2x-6x=-8x\). Now the expression is \(-8x + 6y+3y\).

Step3: Combine like terms for y

Combine the \(y\)-terms: \(6y + 3y=9y\). So the simplified expression is \(-8x + 9y\).

Answer:

\(-8x + 9y\)