3(u-2)-4u=5(y-1)+9

Solution for 3(u-2)-4u=5(y-1)+9 equation:

Simplifying
3(u + -2) + -4u = 5(y + -1) + 9

Reorder the terms:
3(-2 + u) + -4u = 5(y + -1) + 9
(-2 * 3 + u * 3) + -4u = 5(y + -1) + 9
(-6 + 3u) + -4u = 5(y + -1) + 9

Combine like terms: 3u + -4u = -1u
-6 + -1u = 5(y + -1) + 9

Reorder the terms:
-6 + -1u = 5(-1 + y) + 9
-6 + -1u = (-1 * 5 + y * 5) + 9
-6 + -1u = (-5 + 5y) + 9

Reorder the terms:
-6 + -1u = -5 + 9 + 5y

Combine like terms: -5 + 9 = 4
-6 + -1u = 4 + 5y

Solving
-6 + -1u = 4 + 5y

Solving for variable 'u'.

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

Add '6' to each side of the equation.
-6 + 6 + -1u = 4 + 6 + 5y

Combine like terms: -6 + 6 = 0
0 + -1u = 4 + 6 + 5y
-1u = 4 + 6 + 5y

Combine like terms: 4 + 6 = 10
-1u = 10 + 5y

Divide each side by '-1'.
u = -10 + -5y

Simplifying
u = -10 + -5y