3(5y-2)=12y

Solution for 3(5y-2)=12y equation:

Simplifying
3(5y + -2) = 12y

Reorder the terms:
3(-2 + 5y) = 12y
(-2 * 3 + 5y * 3) = 12y
(-6 + 15y) = 12y

Solving
-6 + 15y = 12y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-12y' to each side of the equation.
-6 + 15y + -12y = 12y + -12y

Combine like terms: 15y + -12y = 3y
-6 + 3y = 12y + -12y

Combine like terms: 12y + -12y = 0
-6 + 3y = 0

Add '6' to each side of the equation.
-6 + 6 + 3y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3y = 0 + 6
3y = 0 + 6

Combine like terms: 0 + 6 = 6
3y = 6

Divide each side by '3'.
y = 2

Simplifying
y = 2