SOLUTION: how do I solve (2y-9)+(y+4)=5y..what are the steps to solve these types of equations?

Question 848821: how do I solve (2y-9)+(y+4)=5y..what are the steps to solve these types of equations?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
how do I solve (2y-9)+(y+4)=5y
There is a positive (+) between the brackets so we can just remove them
2y - 9 + y + 4 = 5y
combine like terms on the left
2y + y - 9 + 4 = 5y
3y - 5 = 5y
We want y on the left and numerical values on the right
Add 5 to both sides
3y = 5y + 5
Subtract 5y from both sides
3y - 5y = 5
-2y = 5
y has to be positive, multiply both sides by -1 to change the signs
2y = -5
we want y to have a coefficient of 1, divide both sides by 2
y = -5/2
y = -2.5
:
:
See if that checks out in the original equation, replace y with - 2.5
2(-2.5) - 9 - 2.5 + 4 = 5(-2.5)
-5 - 9 - 2.5 + 4 = -12.5
-12.5 = -12.5 confirms our solution of y = -2.5
RELATED QUESTIONS
#3 i know how to graph points but how do i solve these type of equations. 3x+4y= 7 (answered by jim_thompson5910)

How do I combine these two equations and solve to find the value of x and y? 3x+5y=33... (answered by Alan3354)

Please help me solve these equations: 4(x-3y)+2(3x-y)+y, 9(-3x+5y-7(x+6y), and... (answered by ReadingBoosters)

How do you solve by substitution or elimination these linear equations? {2x+y=5}... (answered by mananth)

Solve the system of 3 linear equations containing 3 unknowns. I can't bring myself to... (answered by josgarithmetic)

Solve the system of equations by graphing. x−2y=8 x+2y=−4 How do I... (answered by Alan3354)

I think I'm starting to understand how to solve these types of equations. However, I... (answered by ankor@dixie-net.com,tutorcecilia)

what is the graph of the equation 6x^2-24x-5y^2-10y-11=0? How do yo identify the... (answered by jim_thompson5910)

3x - 2y = 11 x - y/2 = 4 how do i solve these equations using substation? (answered by checkley77)