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

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


Simplifying
4(2x + 3u) + -3(x + -1y) = 0

Reorder the terms:
4(3u + 2x) + -3(x + -1y) = 0
(3u * 4 + 2x * 4) + -3(x + -1y) = 0
(12u + 8x) + -3(x + -1y) = 0
12u + 8x + (x * -3 + -1y * -3) = 0
12u + 8x + (-3x + 3y) = 0

Combine like terms: 8x + -3x = 5x
12u + 5x + 3y = 0

Solving
12u + 5x + 3y = 0

Solving for variable 'u'.

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

Add '-5x' to each side of the equation.
12u + 5x + -5x + 3y = 0 + -5x

Combine like terms: 5x + -5x = 0
12u + 0 + 3y = 0 + -5x
12u + 3y = 0 + -5x
Remove the zero:
12u + 3y = -5x

Add '-3y' to each side of the equation.
12u + 3y + -3y = -5x + -3y

Combine like terms: 3y + -3y = 0
12u + 0 = -5x + -3y
12u = -5x + -3y

Divide each side by '12'.
u = -0.4166666667x + -0.25y

Simplifying
u = -0.4166666667x + -0.25y

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