To simplify the expression \(6x - 7y + y - 3x\), we can combine like terms.
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Combine the \(x\) terms: \[ 6x - 3x = 3x \]
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Combine the \(y\) terms: \[ -7y + y = -6y \]
Putting it all together, we get: \[ 3x - 6y \]
So, the simplified expression is \(3x - 6y\).