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

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


Simplifying
2(3(x + y) + -4(4c + -5y)) = 0
2((x * 3 + y * 3) + -4(4c + -5y)) = 0
2((3x + 3y) + -4(4c + -5y)) = 0
2(3x + 3y + (4c * -4 + -5y * -4)) = 0
2(3x + 3y + (-16c + 20y)) = 0

Reorder the terms:
2(-16c + 3x + 3y + 20y) = 0

Combine like terms: 3y + 20y = 23y
2(-16c + 3x + 23y) = 0
(-16c * 2 + 3x * 2 + 23y * 2) = 0
(-32c + 6x + 46y) = 0

Solving
-32c + 6x + 46y = 0

Solving for variable 'c'.

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

Add '-6x' to each side of the equation.
-32c + 6x + -6x + 46y = 0 + -6x

Combine like terms: 6x + -6x = 0
-32c + 0 + 46y = 0 + -6x
-32c + 46y = 0 + -6x
Remove the zero:
-32c + 46y = -6x

Add '-46y' to each side of the equation.
-32c + 46y + -46y = -6x + -46y

Combine like terms: 46y + -46y = 0
-32c + 0 = -6x + -46y
-32c = -6x + -46y

Divide each side by '-32'.
c = 0.1875x + 1.4375y

Simplifying
c = 0.1875x + 1.4375y

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