Ok, so
We want to substract:
[tex]6(y-2)[/tex]
From 8y+6.
For this, we can follow the steps given:
Step A: Write the problem as the subtraction of the two expressions.
[tex](8y-6)-6(y-2)[/tex]
This is the order because we are substracting 6(y-2) from (8y-6). This is specified in the given question.
Step B: Rewrite any subtraction as addition of the additive inverse. This is:
[tex](8y+(-6))+(-6(y+(-2))[/tex]
And now, apply the distributive property, simplify, combine like terms, and state the answer.
[tex]\begin{gathered} 8y-6+(-6y+12) \\ 8y-6-6y+12 \\ =2y+6 \end{gathered}[/tex]