7(x-y)-2(3x-4Y)=

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Solution for 7(x-y)-2(3x-4Y)= equation:


Simplifying
7(x + -1y) + -2(3x + -4Y) = 0
(x * 7 + -1y * 7) + -2(3x + -4Y) = 0
(7x + -7y) + -2(3x + -4Y) = 0

Reorder the terms:
7x + -7y + -2(-4Y + 3x) = 0
7x + -7y + (-4Y * -2 + 3x * -2) = 0
7x + -7y + (8Y + -6x) = 0

Reorder the terms:
8Y + 7x + -6x + -7y = 0

Combine like terms: 7x + -6x = 1x
8Y + 1x + -7y = 0

Solving
8Y + 1x + -7y = 0

Solving for variable 'Y'.

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

Add '-1x' to each side of the equation.
8Y + 1x + -1x + -7y = 0 + -1x

Combine like terms: 1x + -1x = 0
8Y + 0 + -7y = 0 + -1x
8Y + -7y = 0 + -1x
Remove the zero:
8Y + -7y = -1x

Add '7y' to each side of the equation.
8Y + -7y + 7y = -1x + 7y

Combine like terms: -7y + 7y = 0
8Y + 0 = -1x + 7y
8Y = -1x + 7y

Divide each side by '8'.
Y = -0.125x + 0.875y

Simplifying
Y = -0.125x + 0.875y

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