I have explained how hyperconjugation leads to the directing properties of alkyl groups below.
Carbon joining substituent now need only single bond. So if we remove one bond between $\ce{H-C}$ along with electron from hydrogen we have a free $\ce{H+}$ ion. The bond which was removed formed a bond with carbon joining the substituent(second picture in second row). From the those two electron (on the left of the second picture in second row) we see one come from electron joining substituent(from hydrogen) and other from the carbon atom at ortho position.
How did one bond between Hydrogen and Carbon move to $\ce{C-C}$ along with one electron from hydrogen?
Now we see the electron from hydrogen jumping from ortho to para position to methyl substituent. How does this jump actually happen?
Is it that the electron( from hydrogen of $\ce{CH3}$) on Carbon at ortho jump(Tell me in detail how this jump occur) to meta position due to formation of double bond between the carbon at ortho and meta position. Due to the double bond, electron( from hydrogen of $\ce{CH3}$) on meta came to para position and so on.
How does the double bond between the carbon at ortho and meta position send electron to para position? The explanation given above is what I think. Is it right? In my book the following was written:
Hyperconjugation involves delocalization of $\sigma$-electron through the overlap of $\pi$ orbital of double bond with $\sigma$ orbital of the adjacent single bond.
Please explain the above extract from book using the above example of hyperconjugation of toluene.