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

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

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

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

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

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

Solving
6 + -1u + 6y = -3 + 3u + 2y

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.
6 + -1u + -3u + 6y = -3 + 3u + -3u + 2y

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

Combine like terms: 3u + -3u = 0
6 + -4u + 6y = -3 + 0 + 2y
6 + -4u + 6y = -3 + 2y

Add '-6' to each side of the equation.
6 + -4u + -6 + 6y = -3 + -6 + 2y

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

Combine like terms: 6 + -6 = 0
0 + -4u + 6y = -3 + -6 + 2y
-4u + 6y = -3 + -6 + 2y

Combine like terms: -3 + -6 = -9
-4u + 6y = -9 + 2y

Add '-6y' to each side of the equation.
-4u + 6y + -6y = -9 + 2y + -6y

Combine like terms: 6y + -6y = 0
-4u + 0 = -9 + 2y + -6y
-4u = -9 + 2y + -6y

Combine like terms: 2y + -6y = -4y
-4u = -9 + -4y

Divide each side by '-4'.
u = 2.25 + y

Simplifying
u = 2.25 + y