-3(-4+2x)+7(-y+5)=-8

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Solution for -3(-4+2x)+7(-y+5)=-8 equation: 


Simplifying
-3(-4 + 2x) + 7(-1y + 5) = -8
(-4 * -3 + 2x * -3) + 7(-1y + 5) = -8
(12 + -6x) + 7(-1y + 5) = -8

Reorder the terms:
12 + -6x + 7(5 + -1y) = -8
12 + -6x + (5 * 7 + -1y * 7) = -8
12 + -6x + (35 + -7y) = -8

Reorder the terms:
12 + 35 + -6x + -7y = -8

Combine like terms: 12 + 35 = 47
47 + -6x + -7y = -8

Solving
47 + -6x + -7y = -8

Solving for variable 'x'.

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

Add '-47' to each side of the equation.
47 + -6x + -47 + -7y = -8 + -47

Reorder the terms:
47 + -47 + -6x + -7y = -8 + -47

Combine like terms: 47 + -47 = 0
0 + -6x + -7y = -8 + -47
-6x + -7y = -8 + -47

Combine like terms: -8 + -47 = -55
-6x + -7y = -55

Add '7y' to each side of the equation.
-6x + -7y + 7y = -55 + 7y

Combine like terms: -7y + 7y = 0
-6x + 0 = -55 + 7y
-6x = -55 + 7y

Divide each side by '-6'.
x = 9.166666667 + -1.166666667y

Simplifying
x = 9.166666667 + -1.166666667y

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