-8(2 -2y) -3(3 +3y)

1 answer

To simplify the expression \(-8(2 - 2y) - 3(3 + 3y)\), we'll start by distributing the constants into the parentheses:

  1. Distribute \(-8\) in the first part: \[ -8(2) + -8(-2y) = -16 + 16y \]

  2. Distribute \(-3\) in the second part: \[ -3(3) + -3(3y) = -9 - 9y \]

Now we combine both results: \[ -16 + 16y - 9 - 9y \]

Next, combine like terms:

  • The constant terms: \(-16 - 9 = -25\)
  • The \(y\) terms: \(16y - 9y = 7y\)

Putting it all together, we get: \[ -25 + 7y \]

So, the simplified expression is: \[ 7y - 25 \]