3x+2Y=0

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Solution for 3x+2Y=0 equation: 


Simplifying
3x + 2Y = 0

Reorder the terms:
2Y + 3x = 0

Solving
2Y + 3x = 0

Solving for variable 'Y'.

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

Add '-3x' to each side of the equation.
2Y + 3x + -3x = 0 + -3x

Combine like terms: 3x + -3x = 0
2Y + 0 = 0 + -3x
2Y = 0 + -3x
Remove the zero:
2Y = -3x

Divide each side by '2'.
Y = -1.5x

Simplifying
Y = -1.5x

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