Solve:-3+10y+6=15+12y-18 First combine like terms on each side of the equation.Then solve for y by collecting all the y-terms on the left.Then solve for y by collecting all the y-terms on the...

Solve:-3+10y+6=15+12y-18

First combine like terms on each side of the equation.Then solve for y by collecting all the y-terms on the left.Then solve for y by collecting all the y-terms on the right.Which approach is better? A)-3+10y+6=15+12y-18

Asked on by klady12

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durbanville's profile pic

durbanville | High School Teacher | (Level 2) Educator Emeritus

Posted on

-3+10y+6=15+12y-18

To follow the instructions:

-3+6 +10y = 15 - 18 +12y

3+10y=-3+12y

Now collect the 'y' terms on the left:

10y - 12y = -3 - 3

-2y = -6

y=`(-6)/(-2)`

y=3

By collecting the y terms on the right hand side, the result will be the same but it may appear easier because you will not have to worry about negative symbols which can sometimes confuse the answer.

The like terms on each side have been collected and so we can proceed from that point:

3+10y=-3+12y

Now move the y terms to the right thus:

3+3 = 12y -10y

6=2y

`6/2 =y`

3=y

`therefore y=3`

therefore y=3 and it seems easier to collect the y yerms on the right  to avoid confusion with negative symbols.

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

-3+10y+6=15+12y-18

-3+6-15+18=12y-10y

6=2y

6/2=(2y)/2

3=y

the second one as by grouping the like terms on one side it seems easier to solve the problem

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