how was the the following solved? -4y+13=y-7

Question

Solve equation with one variable (show all work)> Indicate if there is one solution, infinite number of solutions or no solution.

Answer 1

well there are a few ways to solve this I will do it the easiest way for me:

-4y + 13 = y-7 we need to get the y on one side and the number on one side such that we have y= #

so lets subtract 13 from both sides

-4y + 13 - 13 = y - 7 - 13

-4y + 0 = y - 20

-4y= y - 20 (no need to write the 0) now subtract y from both sides

-4y - 1y= y - y - 20

-5y = 0y - 20

-5y = -20 now divide both sides by -5

y = 4 Is our one and only answer

Check: plug in y = 4

-4(4) + 13 = 4 - 7

-16+13=4-7

-3=-3 it checks out