2(Y-2)=Y-6

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

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

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

Reorder the terms:
-4 + 2Y = -6 + Y

Solving
-4 + 2Y = -6 + Y

Solving for variable 'Y'.

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

Add '-1Y' to each side of the equation.
-4 + 2Y + -1Y = -6 + Y + -1Y

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

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

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

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

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

Divide each side by '1'.
Y = -2

Simplifying
Y = -2