4y-3[x-2(3-2x)-4y]

Remember order of operations

Parenthasese

Exponents

Multiplication

Division

Addition

Subtraction

First we have to multply the -2(3-2x)

4y-3[x-6+4x-4y]

next we simplify inside the brackets

4y-3[-6+5x-4y]

next we multiply -3 through

4y+18-15x+12y

16y-15x+18