how do you solve equations with variables on both side???

Question

i dunno how to do it. for example: 1- 6y = 1+ 4y
i dunno what to do first.
do you add the 6y to the 4y
or do you subtract the 4y from the 6y
or do you add 1
or subtract 1
im sooooo confuzzle?!?!
please help meeeeeeeeeeeee

Answer 1

Very simple. First, bring all the variable terms to one side of the equation and the constants to the other side. In the given example,
1 - 6y = 1 + 4y
-6y - 4y = 1 - 1
-10y = 0
y = 0

Answer 2

There are many ways to solve it but this is simplest to understand. When solving equations with variables on both sides you have to first keep the numbers with same variables on one side of the = sign and numbers on the other side. You have to take the 6y to right hand side and the 1 to the left side so it becomes-
1-1= 4y + 6y
0 = 10y
y = 0

Answer 3

1-6Y = 1+4Y

Simply add 6Y to both sides: 1=1+10Y
Subtract 1 from both sides: 0 = 10Y

Obviously, in your example, Y = 0

The "secret" is to get the unknown (in this case 'Y') on one side of the equals sign - then it becomes a very simple project to solve.

Answer 4

There's no one right way to solving an equation. All of the approaches you suggested, in fact, bring you closer to an answer. The basic goal is to isolate all terms on one side of the equation, so if you can eliminate a term from one side (or eliminate it altogether) it's often helpful to do so (though in higher levels of math this may not be the case in all situations...)