2(y-3)=4-(3-y)

Solution for 2(y-3)=4-(3-y) equation:

Simplifying
2(y + -3) = 4 + -1(3 + -1y)

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

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

Solving
-6 + 2y = 1 + 1y

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.
-6 + 2y + -1y = 1 + 1y + -1y

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

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

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

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

Combine like terms: 1 + 6 = 7
1y = 7

Divide each side by '1'.
y = 7

Simplifying
y = 7