x+(y*2)=(x+y)+3

Solution for x+(y*2)=(x+y)+3 equation:

Simplifying
x + (y * 2) = (x + y) + 3

Reorder the terms for easier multiplication:
x + (2y) = (x + y) + 3

Remove parenthesis around (x + y)
x + (2y) = x + y + 3

Reorder the terms:
x + (2y) = 3 + x + y

Add '-1x' to each side of the equation.
x + -1x + (2y) = 3 + x + -1x + y

Combine like terms: x + -1x = 0
0 + (2y) = 3 + x + -1x + y
(2y) = 3 + x + -1x + y

Combine like terms: x + -1x = 0
(2y) = 3 + 0 + y
(2y) = 3 + y

Solving
(2y) = 3 + 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.
(2y) + -1y = 3 + y + -1y

Combine like terms: (2y) + -1y = 1y
1y = 3 + y + -1y

Combine like terms: y + -1y = 0
1y = 3 + 0
1y = 3

Divide each side by '1'.
y = 3

Simplifying
y = 3