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

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

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

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

Remove parenthesis around (-3 + y)
-3 + y + -1(y + -4) = 2y

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

Reorder the terms:
-3 + 4 + y + -1y = 2y

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

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

Solving
1 = 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.
1 + -2y = 2y + -2y

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

Add '-1' to each side of the equation.
1 + -1 + -2y = 0 + -1

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

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

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5