2(y-6)=3y+12y

Solution for 2(y-6)=3y+12y equation:

Simplifying
2(y + -6) = 3y + 12y

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

Combine like terms: 3y + 12y = 15y
-12 + 2y = 15y

Solving
-12 + 2y = 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-12 + 2y + -15y = 15y + -15y

Combine like terms: 2y + -15y = -13y
-12 + -13y = 15y + -15y

Combine like terms: 15y + -15y = 0
-12 + -13y = 0

Add '12' to each side of the equation.
-12 + 12 + -13y = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -13y = 0 + 12
-13y = 0 + 12

Combine like terms: 0 + 12 = 12
-13y = 12

Divide each side by '-13'.
y = -0.9230769231

Simplifying
y = -0.9230769231