20(x+2Y)-30(xy)-15(x-y)=

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Solution for 20(x+2Y)-30(xy)-15(x-y)= equation:


Simplifying
20(x + 2Y) + -30(xy) + -15(x + -1y) = 0

Reorder the terms:
20(2Y + x) + -30(xy) + -15(x + -1y) = 0
(2Y * 20 + x * 20) + -30(xy) + -15(x + -1y) = 0
(40Y + 20x) + -30(xy) + -15(x + -1y) = 0
40Y + 20x + -30xy + (x * -15 + -1y * -15) = 0
40Y + 20x + -30xy + (-15x + 15y) = 0

Reorder the terms:
40Y + 20x + -15x + -30xy + 15y = 0

Combine like terms: 20x + -15x = 5x
40Y + 5x + -30xy + 15y = 0

Solving
40Y + 5x + -30xy + 15y = 0

Solving for variable 'Y'.

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

Add '-5x' to each side of the equation.
40Y + 5x + -30xy + -5x + 15y = 0 + -5x

Reorder the terms:
40Y + 5x + -5x + -30xy + 15y = 0 + -5x

Combine like terms: 5x + -5x = 0
40Y + 0 + -30xy + 15y = 0 + -5x
40Y + -30xy + 15y = 0 + -5x
Remove the zero:
40Y + -30xy + 15y = -5x

Add '30xy' to each side of the equation.
40Y + -30xy + 30xy + 15y = -5x + 30xy

Combine like terms: -30xy + 30xy = 0
40Y + 0 + 15y = -5x + 30xy
40Y + 15y = -5x + 30xy

Add '-15y' to each side of the equation.
40Y + 15y + -15y = -5x + 30xy + -15y

Combine like terms: 15y + -15y = 0
40Y + 0 = -5x + 30xy + -15y
40Y = -5x + 30xy + -15y

Divide each side by '40'.
Y = -0.125x + 0.75xy + -0.375y

Simplifying
Y = -0.125x + 0.75xy + -0.375y

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