math
posted by lily .
What is 7(y+3)+2y simplified? and if possible, can you break down how you got it?
Simplifying equations confuses me easily.

7(y+3)+2y
7y + 21 + 2y
9y + 21 
7(y+3)2y
multiply 7 with y and 3
7y+212y
collect like terms
7y2y+21
5y+21
Done 
Tasuba  I think you've misread the problem. I don't see any minus signs in the original problem.

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
Respond to this Question
Similar Questions

math,simplifying
can someone help me if possible simplifying this fraction more (2(x5))/((x+3)(x3)(x+1)) It wont simplify any more. okay thank you i just tjought that the bottom i could still simplify it by foiling the first two them multiplying … 
algebra
simplify:(3x0 ynegative 4)(2x2 y)3 this is hard to break down but i got 6x6/y but my sister said it could either be 24x6/y or 216x6/y6 if not any break it down and tell me which one is right thank u please keep it clear and simple … 
algebra
so the answer is 6 x6/y or 24 x6/y simplify:(3x0 ynegative 4)(2x2 y)3 this is hard to break down but i got 6x6/y but my sister said it could either be 24x6/y or 216x6/y6 if not any break it down and tell me which one is right thank … 
CP Algebra
15y^230y45 ____________ 5y^2+10y15 this is simplifying multiplying and dividing i got this far: 15(y^22y3) 15(y+1)(y3) ___________ = ___________ 5(y^2+2y3) 5(y1)(y+3) then i simplified the 15 to 3 and the 5 to 1 
4th Grade Math
Re: Factor Numbers My son has to write at least two ways to break down numbers  I know he did not learn this in school but I would like to help him at home, please help me I have not done this work in over 30 years. He has to break … 
4th Grade Math
Re: Factor Numbers My son has to write at least two ways to break down numbers  I know he did not learn this in school but I would like to help him at home, please help me I have not done this work in over 30 years. He has to break … 
math
5 sq ft= ___ in I have that this converts to 720 square inches but cannot convert it down to inches. I have no clue how to break this down to inches since square deals with area and we don't know the sides. Is it possible to break … 
bus stats
A manufacturing company has 5 identical machines that produce nails. The probability that a machine will break down on any given day is .1. Define a random variable X to be the number of machines that will break down in a day. a. what … 
AP CALCULUS HELP
first, we must find 2z(dz/dt)=2x(dx/dt) + 2y(2y/dt) simplifying, we get: dy/dt=? 
Math
Graph both equations and conpare the rate of change in both graphs. 1: y = 2x + 1 2: y = 1/4x  2 I've already graphed them correctly, but comparing the rate of change confuses me. ( Doing summer HM ) I did 2 x 1/4 and got 8. Is this …