3*2x+5*3y+3*4x-4*4y+2*3y=

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Solution for 3*2x+5*3y+3*4x-4*4y+2*3y= equation: 


Simplifying
3 * 2x + 5 * 3y + 3 * 4x + -4 * 4y + 2 * 3y = 0

Multiply 3 * 2
6x + 5 * 3y + 3 * 4x + -4 * 4y + 2 * 3y = 0

Multiply 5 * 3
6x + 15y + 3 * 4x + -4 * 4y + 2 * 3y = 0

Multiply 3 * 4
6x + 15y + 12x + -4 * 4y + 2 * 3y = 0

Multiply -4 * 4
6x + 15y + 12x + -16y + 2 * 3y = 0

Multiply 2 * 3
6x + 15y + 12x + -16y + 6y = 0

Reorder the terms:
6x + 12x + 15y + -16y + 6y = 0

Combine like terms: 6x + 12x = 18x
18x + 15y + -16y + 6y = 0

Combine like terms: 15y + -16y = -1y
18x + -1y + 6y = 0

Combine like terms: -1y + 6y = 5y
18x + 5y = 0

Solving
18x + 5y = 0

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
18x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
18x + 0 = 0 + -5y
18x = 0 + -5y
Remove the zero:
18x = -5y

Divide each side by '18'.
x = -0.2777777778y

Simplifying
x = -0.2777777778y

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