Question

Simplify the expression 2(y - 6) = 3(y - 4) - y².

Answer 1

To simplify the expression 2(y - 6) = 3(y - 4) - y², distribute and combine like terms. The simplified form of the expression is -y² - y = -24.

Step-by-step explanation:

To simplify the expression 2(y - 6) = 3(y - 4) - y², we need to distribute and combine like terms.

Start by distributing:

1. 2 * y = 2y
2. 2 * (-6) = -12
3. 3 * y = 3y
4. 3 * (-4) = -12

Now, substitute the distributed terms back into the expression:

1. 2y - 12 = 3y - 12 - y²

Next, combine like terms:

1. -y² + 2y - 3y = -12 - 12
2. -y² - y = -24

Finally, simplify further by combining more like terms:

1. -y² - y = -24

The simplified form of the expression is -y² - y = -24.