3y(5-2x)-2y(4-3y)=

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Solution for 3y(5-2x)-2y(4-3y)= equation: 


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

Reorder the terms:
(-6xy + 15y) + -2y(4 + -3y) = 0
(-6xy + 15y) + -2y(4 + -3y) = 0
-6xy + 15y + (4 * -2y + -3y * -2y) = 0
-6xy + 15y + (-8y + 6y2) = 0

Combine like terms: 15y + -8y = 7y
-6xy + 7y + 6y2 = 0

Solving
-6xy + 7y + 6y2 = 0

Solving for variable 'x'.

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

Add '-7y' to each side of the equation.
-6xy + 7y + -7y + 6y2 = 0 + -7y

Combine like terms: 7y + -7y = 0
-6xy + 0 + 6y2 = 0 + -7y
-6xy + 6y2 = 0 + -7y
Remove the zero:
-6xy + 6y2 = -7y

Add '-6y2' to each side of the equation.
-6xy + 6y2 + -6y2 = -7y + -6y2

Combine like terms: 6y2 + -6y2 = 0
-6xy + 0 = -7y + -6y2
-6xy = -7y + -6y2

Divide each side by '-6y'.
x = 1.166666667 + y

Simplifying
x = 1.166666667 + y

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