What is 7(y+3)+2y simplified? and if possible, can you break down how you got it?

Question

Simplifying equations confuses me easily.

Answer 1

7(y+3)+2y

7y + 21 + 2y
9y + 21

Answer 2

7(y+3)-2y
multiply 7 with y and 3
7y+21-2y
collect like terms
7y-2y+21
5y+21
Done

Answer 3

Tasuba -- I think you've misread the problem. I don't see any minus signs in the original problem.

Answer 4

The first thing you should do is try to remove the brackets. You can do this by using distributivity. In symbols, this means the following:

a*(b + c) = a*b + a*c

As you can see, the first term of the equation is 7*(y+3)
So, using distributivity, we find that
7*(y+3) = 7*y + 7*3 = 7y + 21
So, the equation can be simplified in the following manner:

7(y+3)+2y = 7y + 21 + 2y

Now, we have to terms with y. if we put them together, we get:

7y + 2y + 21

If we use the formula of distributivity in reverse, we find that:

7y + 2y = (7+2)*y = 9y

So, the equation can be further simplified in the following manner:

7y+2y+21 = 9y + 21