(U-3)=3(u-4)-(u-6)

Solution for (U-3)=3(u-4)-(u-6) equation:

Simplifying
(U + -3) = 3(u + -4) + -1(u + -6)

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

Remove parenthesis around (-3 + U)
-3 + U = 3(u + -4) + -1(u + -6)

Reorder the terms:
-3 + U = 3(-4 + u) + -1(u + -6)
-3 + U = (-4 * 3 + u * 3) + -1(u + -6)
-3 + U = (-12 + 3u) + -1(u + -6)

Reorder the terms:
-3 + U = -12 + 3u + -1(-6 + u)
-3 + U = -12 + 3u + (-6 * -1 + u * -1)
-3 + U = -12 + 3u + (6 + -1u)

Reorder the terms:
-3 + U = -12 + 6 + 3u + -1u

Combine like terms: -12 + 6 = -6
-3 + U = -6 + 3u + -1u

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

Solving
-3 + U = -6 + 2u

Solving for variable 'U'.

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

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

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

Combine like terms: -6 + 3 = -3
U = -3 + 2u

Simplifying
U = -3 + 2u