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QUESTION IMAGE

simplify. -2(y + 6) + 4y

Question

simplify.
-2(y + 6) + 4y

Explanation:

Step1: Distribute -2

Using the distributive property \(a(b + c)=ab+ac\), we distribute \(-2\) to \(y\) and \(6\):
\(-2(y + 6)=-2\times y+(-2)\times6=-2y-12\)
So the expression becomes \(-2y - 12+4y\)

Step2: Combine like terms

Combine the terms with \(y\): \(-2y+4y = 2y\)
The constant term is \(-12\), so the simplified expression is \(2y-12\)

Answer:

\(2y - 12\)