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

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

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

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

Reorder the terms:
-6 + 3y = 2(-2 + y)
-6 + 3y = (-2 * 2 + y * 2)
-6 + 3y = (-4 + 2y)

Solving
-6 + 3y = -4 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-6 + 3y + -2y = -4 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-6 + 1y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + 1y = -4 + 0
-6 + 1y = -4

Add '6' to each side of the equation.
-6 + 6 + 1y = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 1y = -4 + 6
1y = -4 + 6

Combine like terms: -4 + 6 = 2
1y = 2

Divide each side by '1'.
y = 2

Simplifying
y = 2