Solving an equation
For the equation
6x + 2y = 12
We want to know what number is y, then we bring the terms that have not y to the other side of the "=":
6x + 2y = 12
-6x + 6x + 2y = - 6x + 12 [substracting -6x both sides]
2y = -6x + 12 [-6x + 6x =0]
y = (-6x + 12)/2 [dividing by 2 both sides]
y = (-6x/2) + (12/2) [distributive property]
y = -3x + 6 [since -6/2 = -3 and 12/2 = 6]
Answer: y= -3x + 6