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

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

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

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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 1y = -2 + 6

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

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

Divide each side by '1'.
y = 4

Simplifying
y = 4