# How do you simplify 6y (5y - 8) + 42y?

May 27, 2018

$30 {y}^{2} - 6 y$

#### Explanation:

$6 y \left(5 y - 8\right) + 42 y$

First, distribute $6 y$ to the terms inside the parentheses, $5 y$ and $- 8$. To do this, multiply each term by $6 y$.

$6 y \cdot 5 y = 30 {y}^{2}$
$6 y \cdot - 8 = - 48 y$

Re-write the equation to reflect new information:

$30 {y}^{2} - 48 y + 42 y$

Now, combine like terms. $- 48 y$ and $42 y$ are like terms, so add them together:

$- 48 y + 42 y = - 6 y$

Therefore, your simplified expression is:

$30 {y}^{2} - 6 y$