how to solve variables?

Question

i am stuck on a math question. i dont want to cheat but i want to know how to do it. so if you get a question with like a letter in it what do u do to solve it? for example: 6y-9=33

Answer 1

6y - 9 = 33

thing of the equal sign as a balance.  everything on the left is currently balanced with everything on the right.  So, we are going to work on isolating the y (getting it by itself) while keeping the equation balanced.

Start by 'undoing' addition/subtraction. in this case 'undo' -9 by adding 9 to both sides

6y - 9 + 9 = 33 + 9  (what you do to one side you do to the other)

combine like terms 6y = 42

then 6y means 6 times y so 'undo' multiplication by dividing (again both sides)

6y/6 = 42/6

6/6 = 1 so 1y = 7

the one is automatically implied and thus not necessary therefore answer is y=7

Answer 2

x/3 - 1/2 =5/6

Answer 3

2/(k+2) - 1/(k-3) =

Answer 4

Solve & variable Y + 3/4 = 15/16

Answer 5

90=12T-11-6T