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The result is \( x + 14y \).
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To subtract \(3x - 6y\) from \(4x + 8y\), we can set it up like this: \[ (4x + 8y) - (3x - 6y) \] Now, distribute the negative sign: \[ 4x + 8y - 3x + 6y \] Next, combine like terms: \[ (4x - 3x) + (8y + 6y) = 1x + 14y \] Thus, the result is: \[ x + 14y \]