-4(2-u)+3y=3(y-4)

Solution for -4(2-u)+3y=3(y-4) equation:

Simplifying
-4(2 + -1u) + 3y = 3(y + -4)
(2 * -4 + -1u * -4) + 3y = 3(y + -4)
(-8 + 4u) + 3y = 3(y + -4)

Reorder the terms:
-8 + 4u + 3y = 3(-4 + y)
-8 + 4u + 3y = (-4 * 3 + y * 3)
-8 + 4u + 3y = (-12 + 3y)

Add '-3y' to each side of the equation.
-8 + 4u + 3y + -3y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + 4u + 0 = -12 + 3y + -3y
-8 + 4u = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + 4u = -12 + 0
-8 + 4u = -12

Solving
-8 + 4u = -12

Solving for variable 'u'.

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

Add '8' to each side of the equation.
-8 + 8 + 4u = -12 + 8

Combine like terms: -8 + 8 = 0
0 + 4u = -12 + 8
4u = -12 + 8

Combine like terms: -12 + 8 = -4
4u = -4

Divide each side by '4'.
u = -1

Simplifying
u = -1