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

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

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

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

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

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

Combine like terms: 3u + 2u = 5u
6 + -1u + 6y = -3 + 5u

Solving
6 + -1u + 6y = -3 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
6 + -1u + -5u + 6y = -3 + 5u + -5u

Combine like terms: -1u + -5u = -6u
6 + -6u + 6y = -3 + 5u + -5u

Combine like terms: 5u + -5u = 0
6 + -6u + 6y = -3 + 0
6 + -6u + 6y = -3

Add '-6' to each side of the equation.
6 + -6u + -6 + 6y = -3 + -6

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

Combine like terms: 6 + -6 = 0
0 + -6u + 6y = -3 + -6
-6u + 6y = -3 + -6

Combine like terms: -3 + -6 = -9
-6u + 6y = -9

Add '-6y' to each side of the equation.
-6u + 6y + -6y = -9 + -6y

Combine like terms: 6y + -6y = 0
-6u + 0 = -9 + -6y
-6u = -9 + -6y

Divide each side by '-6'.
u = 1.5 + y

Simplifying
u = 1.5 + y