Simplify the expression and combine like terms

-5(4y-7) + 4(2y+5)

first use the distributive property to multiply the terms out:

-20 y + 35 + 8 y + 20
you now have 8-20 y's
which is -12 y
and you have the numbers 35+20 which is 55
so the result is
55 - 12y

To simplify the expression and combine like terms, you need to distribute the coefficients to each term within the parentheses and then combine the like terms.

Let's start with the first term: -5(4y - 7). You distribute the -5 to each term within the parentheses:

-5 * 4y = -20y
-5 * (-7) = +35

So the first term simplifies to -20y + 35.

Now let's move on to the second term: 4(2y + 5). You distribute the 4 to each term within the parentheses:

4 * 2y = 8y
4 * 5 = 20

So the second term simplifies to 8y + 20.

Now you can combine the simplified terms: -20y + 35 + 8y + 20.

Combining the like terms, the final simplified expression is:

-20y + 8y + 35 + 20

Next, combine the terms with the same variable, which are -20y and 8y.

-20y + 8y simplifies to -12y.

So the final expression, after combining like terms, is:

-12y + 35 + 20

Finally, add 35 and 20, which gives you 55.

So the completely simplified expression is:

-12y + 55.