3(Y-2)-2(Y-6)=

Solution for 3(Y-2)-2(Y-6)= equation:

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

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

Reorder the terms:
-6 + 3Y + -2(-6 + Y) = 0
-6 + 3Y + (-6 * -2 + Y * -2) = 0
-6 + 3Y + (12 + -2Y) = 0

Reorder the terms:
-6 + 12 + 3Y + -2Y = 0

Combine like terms: -6 + 12 = 6
6 + 3Y + -2Y = 0

Combine like terms: 3Y + -2Y = 1Y
6 + 1Y = 0

Solving
6 + 1Y = 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 + 1Y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1Y = 0 + -6
1Y = 0 + -6

Combine like terms: 0 + -6 = -6
1Y = -6

Divide each side by '1'.
Y = -6

Simplifying
Y = -6