4u-1=3(3-u)-3

Solution for 4u-1=3(3-u)-3 equation:

Simplifying
4u + -1 = 3(3 + -1u) + -3

Reorder the terms:
-1 + 4u = 3(3 + -1u) + -3
-1 + 4u = (3 * 3 + -1u * 3) + -3
-1 + 4u = (9 + -3u) + -3

Reorder the terms:
-1 + 4u = 9 + -3 + -3u

Combine like terms: 9 + -3 = 6
-1 + 4u = 6 + -3u

Solving
-1 + 4u = 6 + -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.
-1 + 4u + 3u = 6 + -3u + 3u

Combine like terms: 4u + 3u = 7u
-1 + 7u = 6 + -3u + 3u

Combine like terms: -3u + 3u = 0
-1 + 7u = 6 + 0
-1 + 7u = 6

Add '1' to each side of the equation.
-1 + 1 + 7u = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 7u = 6 + 1
7u = 6 + 1

Combine like terms: 6 + 1 = 7
7u = 7

Divide each side by '7'.
u = 1

Simplifying
u = 1