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

Solution for 4(Y+3)-2(-Y+3)=6-Y equation:

Simplifying
4(Y + 3) + -2(-1Y + 3) = 6 + -1Y

Reorder the terms:
4(3 + Y) + -2(-1Y + 3) = 6 + -1Y
(3 * 4 + Y * 4) + -2(-1Y + 3) = 6 + -1Y
(12 + 4Y) + -2(-1Y + 3) = 6 + -1Y

Reorder the terms:
12 + 4Y + -2(3 + -1Y) = 6 + -1Y
12 + 4Y + (3 * -2 + -1Y * -2) = 6 + -1Y
12 + 4Y + (-6 + 2Y) = 6 + -1Y

Reorder the terms:
12 + -6 + 4Y + 2Y = 6 + -1Y

Combine like terms: 12 + -6 = 6
6 + 4Y + 2Y = 6 + -1Y

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

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

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

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

Solving
6Y = -1Y

Solving for variable 'Y'.

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

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

Combine like terms: 6Y + Y = 7Y
7Y = -1Y + Y

Combine like terms: -1Y + Y = 0
7Y = 0

Divide each side by '7'.
Y = 0

Simplifying
Y = 0