Question

Simplify the following expression.
4(2y - 6) + 3(5y + 10)

Answer 1

To simplify the expression \( 4(2y - 6) + 3(5y + 10) \), we will distribute the constants 4 and 3 to the expressions inside the parentheses.

1. Distribute the 4 in the first term:
\[
4(2y) - 4(6) = 8y - 24
\]

2. Distribute the 3 in the second term:
\[
3(5y) + 3(10) = 15y + 30
\]

Now, we can combine both results:
\[
8y - 24 + 15y + 30
\]

Next, combine like terms:
- Combine the \(y\) terms: \(8y + 15y = 23y\)
- Combine the constant terms: \(-24 + 30 = 6\)

Putting it all together:
\[
23y + 6
\]

Thus, the simplified expression is:
\[
\boxed{23y + 6}
\]