[2(y-4)-3(2x+1)]-(7x-3y+5)=

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Solution for [2(y-4)-3(2x+1)]-(7x-3y+5)= equation:


Simplifying
[2(y + -4) + -3(2x + 1)] + -1(7x + -3y + 5) = 0

Reorder the terms:
[2(-4 + y) + -3(2x + 1)] + -1(7x + -3y + 5) = 0
[(-4 * 2 + y * 2) + -3(2x + 1)] + -1(7x + -3y + 5) = 0
[(-8 + 2y) + -3(2x + 1)] + -1(7x + -3y + 5) = 0

Reorder the terms:
[-8 + 2y + -3(1 + 2x)] + -1(7x + -3y + 5) = 0
[-8 + 2y + (1 * -3 + 2x * -3)] + -1(7x + -3y + 5) = 0
[-8 + 2y + (-3 + -6x)] + -1(7x + -3y + 5) = 0

Reorder the terms:
[-8 + -3 + -6x + 2y] + -1(7x + -3y + 5) = 0

Combine like terms: -8 + -3 = -11
[-11 + -6x + 2y] + -1(7x + -3y + 5) = 0

Remove brackets around [-11 + -6x + 2y]
-11 + -6x + 2y + -1(7x + -3y + 5) = 0

Reorder the terms:
-11 + -6x + 2y + -1(5 + 7x + -3y) = 0
-11 + -6x + 2y + (5 * -1 + 7x * -1 + -3y * -1) = 0
-11 + -6x + 2y + (-5 + -7x + 3y) = 0

Reorder the terms:
-11 + -5 + -6x + -7x + 2y + 3y = 0

Combine like terms: -11 + -5 = -16
-16 + -6x + -7x + 2y + 3y = 0

Combine like terms: -6x + -7x = -13x
-16 + -13x + 2y + 3y = 0

Combine like terms: 2y + 3y = 5y
-16 + -13x + 5y = 0

Solving
-16 + -13x + 5y = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + -13x + 16 + 5y = 0 + 16

Reorder the terms:
-16 + 16 + -13x + 5y = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -13x + 5y = 0 + 16
-13x + 5y = 0 + 16

Combine like terms: 0 + 16 = 16
-13x + 5y = 16

Add '-5y' to each side of the equation.
-13x + 5y + -5y = 16 + -5y

Combine like terms: 5y + -5y = 0
-13x + 0 = 16 + -5y
-13x = 16 + -5y

Divide each side by '-13'.
x = -1.230769231 + 0.3846153846y

Simplifying
x = -1.230769231 + 0.3846153846y

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