Answer :

To evaluate the expression [tex]\( 4x - 6y \)[/tex] for the given values [tex]\( x = 6 \)[/tex] and [tex]\( y = 2 \)[/tex], follow these steps:

1. Substitute the given values into the expression:
[tex]\[ 4x - 6y \quad \text{becomes} \quad 4(6) - 6(2) \][/tex]

2. Multiply the coefficients by the variables:
[tex]\[ 4(6) = 24 \][/tex]
[tex]\[ 6(2) = 12 \][/tex]

3. Subtract the results from step 2:
[tex]\[ 24 - 12 = 12 \][/tex]

Thus, the evaluated result of the expression [tex]\( 4x - 6y \)[/tex] for [tex]\( x = 6 \)[/tex] and [tex]\( y = 2 \)[/tex] is [tex]\(\boxed{12}\)[/tex].