Question

Simplify 9y+2y-5y please answer

Answer 1

6y

Explanation:

We are given the expression:

9y+2y-5y

and asked to simplify.

Each term in the expression has the same variable, a "y". Therefore, all three terms are like terms. We can combine the like terms in the expression.

First, factor out a y from each term.

9y+2y-5y

(9+2-5)*y

Solve inside the parentheses first. Add 9 and 2.

(11-5)*y

Subtract 5 from 11.

(6)*y

6y

The expression 9y+2y-5y simplified is 6y.

Answer 2

`9y+2y-5y=6y`

Explanation:

So we have the expression:

`9y+2y-5y`

To simplify, simply combine the like terms. Therefore:

`9y+2y-5y\\=11y-5y\\=6y`

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

`9y+2y-5y`

Now, factor out a y from the three terms:

`=y(9+2-5)`

Do all the operations inside the parenthesis:

`y(9+2-5)\\=y(11-5)\\=y(6)=6y`

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!