K(y+3x)=4(y-5)

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Solution for K(y+3x)=4(y-5) equation: 


Simplifying
K(y + 3x) = 4(y + -5)

Reorder the terms:
K(3x + y) = 4(y + -5)
(3x * K + y * K) = 4(y + -5)
(3xK + yK) = 4(y + -5)

Reorder the terms:
3xK + yK = 4(-5 + y)
3xK + yK = (-5 * 4 + y * 4)
3xK + yK = (-20 + 4y)

Solving
3xK + yK = -20 + 4y

Solving for variable 'x'.

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

Add '-1yK' to each side of the equation.
3xK + yK + -1yK = -20 + 4y + -1yK

Combine like terms: yK + -1yK = 0
3xK + 0 = -20 + 4y + -1yK
3xK = -20 + 4y + -1yK

Divide each side by '3K'.
x = -6.666666667K-1 + 1.333333333yK-1 + -0.3333333333y

Simplifying
x = -6.666666667K-1 + 1.333333333yK-1 + -0.3333333333y

Reorder the terms:
x = -6.666666667K-1 + -0.3333333333y + 1.333333333yK-1

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