3(y-2)=6y+1-2(-6y-1)

Solution for 3(y-2)=6y+1-2(-6y-1) equation:

Simplifying
3(y + -2) = 6y + 1 + -2(-6y + -1)

Reorder the terms:
3(-2 + y) = 6y + 1 + -2(-6y + -1)
(-2 * 3 + y * 3) = 6y + 1 + -2(-6y + -1)
(-6 + 3y) = 6y + 1 + -2(-6y + -1)

Reorder the terms:
-6 + 3y = 6y + 1 + -2(-1 + -6y)
-6 + 3y = 6y + 1 + (-1 * -2 + -6y * -2)
-6 + 3y = 6y + 1 + (2 + 12y)

Reorder the terms:
-6 + 3y = 1 + 2 + 6y + 12y

Combine like terms: 1 + 2 = 3
-6 + 3y = 3 + 6y + 12y

Combine like terms: 6y + 12y = 18y
-6 + 3y = 3 + 18y

Solving
-6 + 3y = 3 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
-6 + 3y + -18y = 3 + 18y + -18y

Combine like terms: 3y + -18y = -15y
-6 + -15y = 3 + 18y + -18y

Combine like terms: 18y + -18y = 0
-6 + -15y = 3 + 0
-6 + -15y = 3

Add '6' to each side of the equation.
-6 + 6 + -15y = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -15y = 3 + 6
-15y = 3 + 6

Combine like terms: 3 + 6 = 9
-15y = 9

Divide each side by '-15'.
y = -0.6

Simplifying
y = -0.6