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\( x + 14y \)
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To subtract \( 3x - 6y \) from \( 4x + 8y \), we set it up as: \[ (4x + 8y) - (3x - 6y) \] Distributing the negative sign, we have: \[ 4x + 8y - 3x + 6y \] Now, combine like terms: \[ (4x - 3x) + (8y + 6y) = 1x + 14y \] Therefore, the result of the subtraction is: \[ x + 14y \]
