The answer of the given equation for w is \(w=\frac{2z+y}{6}\)
From the question,
The given equation is 6w - y = 2z
To determine what the answer is for w, that means we should make w the subject of the equation
The equation is
\(6w - y = 2z\)
To make w the subject of the equation,
First, add y to both sides of the equation
That is,
\(6w - y+y = 2z +y\)
\(6w = 2z+y\)
Now, divide both sides of the equation by 6
\(\frac{6w}{6}=\frac{2z+y}{6}\)
∴ \(w=\frac{2z+y}{6}\)
Hence, the answer of the given equation for w is \(w=\frac{2z+y}{6}\)
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