Simplify 54x+38y-3(4x-7y): Linear Expression with Distribution

$54x+38y-3(4x-7y)=\text{?}$

We begin by addressing the parenthesis:

Remember that:

When we multiply a positive number by a negative number, the result will be negative.

When we multiply a negative number by a negative number, the result will be positive.

Hence we obtain the following:

$54x+38y-3\times4x-3\times(-7y)=$

We then multiply and change the sign according to the rules:

$54x+38y-12x+21y=$

Next we join together the x coefficients:

$54x-12x=42x$

We also join together the y coefficients:

$38y+21y=59y$

Finally we obtain:

$42x+59y$