6y-3(y-2)=0

Solution for 6y-3(y-2)=0 equation:

Simplifying
6y + -3(y + -2) = 0

Reorder the terms:
6y + -3(-2 + y) = 0
6y + (-2 * -3 + y * -3) = 0
6y + (6 + -3y) = 0

Reorder the terms:
6 + 6y + -3y = 0

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

Solving
6 + 3y = 0

Solving for variable 'y'.

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

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