What does 2(y+3)-6=3(2-y)

Question

I'm learning pre-algebra and am having a bit of trouble. I'm in 8th grade and need help. if you do know the answer please show me how you got said answer. 

Answer 1

First, multiply out the parentheses.

For example,

2(y+3) turns into

2y + 2*3

 

similarly, 

3(2-y) becomes

3*2 - 3y

 

now put it all together

2y + 2*3 -6 = 3*2 -3y

 

next “collect terms”. That means, move the ys together, and put the bare numbers together.

 

i assume you know how to do that.

2y + 3y = 3*2 - 2*3 +6

now simplify 

5y = 6

now divide by 5 to get y all alone

y = 6/5

 

check to be sure, by putting 6/5 in for”y” in the top equation.

 

2(y+3) -6 = 3(2 - y)

2(6/5 + 3) - 6 = 3(2 - 6/5)

once agaun, multiply out the parentheses

2*6/5 + 6 -6 = 6 -3*6/5

12/5 = 6 - 18/5

 

put everything over s common denominator: 5

 

12/5 = 6*5/5 - 18/5

12/5 = 30/5 - 18/5

 

abd that is true, so y = 6/5 is the correct answer.

 

Answer 2

2(y + 3) - 6 = 3(2 - y)

2y + 6 - 6 = 6 - 3y       distribute

2y = 6 - 3y                   combine

5y = 6                         add 3y to both sides

y = 6/5                        divide both sides by 5