Answer: 6x-4y-12
Step-by-step explanation:
To solve this, we need to know about the distributive property, which tells us that a(b+c) = ab + ac. In other words, you can multiply the term outside the parentheses with the terms in the parentheses. Let's first use this to get rid of the parentheses:
[tex]4(x-3)-6y+2(y+x)\\4x - 12-6y +2y +2x\\[/tex]
Now, we need to simplify like terms, which translates to "combine terms if they have the same variable." We will first move all like terms near each other and them simplify:
[tex]4x - 12-6y +2y +2x\\=4x+2x-6y+2y-12\\=6x-4y-12[/tex]
So, the simplified expression is 6x-4y-12.
