2(y+2)+u=3(u-1)+6

Solution for 2(y+2)+u=3(u-1)+6 equation:

Simplifying
2(y + 2) + u = 3(u + -1) + 6

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

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

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

Reorder the terms:
4 + u + 2y = -3 + 6 + 3u

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

Solving
4 + u + 2y = 3 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
4 + u + -3u + 2y = 3 + 3u + -3u

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

Combine like terms: 3u + -3u = 0
4 + -2u + 2y = 3 + 0
4 + -2u + 2y = 3

Add '-4' to each side of the equation.
4 + -2u + -4 + 2y = 3 + -4

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

Combine like terms: 4 + -4 = 0
0 + -2u + 2y = 3 + -4
-2u + 2y = 3 + -4

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

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

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

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

Simplifying
u = 0.5 + y