4-[5y+2(6x-y)-3(x-5y-3)-7]=

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Solution for 4-[5y+2(6x-y)-3(x-5y-3)-7]= equation:


Simplifying
4 + -1[5y + 2(6x + -1y) + -3(x + -5y + -3) + -7] = 0
4 + -1[5y + (6x * 2 + -1y * 2) + -3(x + -5y + -3) + -7] = 0
4 + -1[5y + (12x + -2y) + -3(x + -5y + -3) + -7] = 0

Reorder the terms:
4 + -1[5y + 12x + -2y + -3(-3 + x + -5y) + -7] = 0
4 + -1[5y + 12x + -2y + (-3 * -3 + x * -3 + -5y * -3) + -7] = 0
4 + -1[5y + 12x + -2y + (9 + -3x + 15y) + -7] = 0

Reorder the terms:
4 + -1[9 + -7 + 12x + -3x + 5y + -2y + 15y] = 0

Combine like terms: 9 + -7 = 2
4 + -1[2 + 12x + -3x + 5y + -2y + 15y] = 0

Combine like terms: 12x + -3x = 9x
4 + -1[2 + 9x + 5y + -2y + 15y] = 0

Combine like terms: 5y + -2y = 3y
4 + -1[2 + 9x + 3y + 15y] = 0

Combine like terms: 3y + 15y = 18y
4 + -1[2 + 9x + 18y] = 0
4 + [2 * -1 + 9x * -1 + 18y * -1] = 0
4 + [-2 + -9x + -18y] = 0

Combine like terms: 4 + -2 = 2
2 + -9x + -18y = 0

Solving
2 + -9x + -18y = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -9x + -2 + -18y = 0 + -2

Reorder the terms:
2 + -2 + -9x + -18y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9x + -18y = 0 + -2
-9x + -18y = 0 + -2

Combine like terms: 0 + -2 = -2
-9x + -18y = -2

Add '18y' to each side of the equation.
-9x + -18y + 18y = -2 + 18y

Combine like terms: -18y + 18y = 0
-9x + 0 = -2 + 18y
-9x = -2 + 18y

Divide each side by '-9'.
x = 0.2222222222 + -2y

Simplifying
x = 0.2222222222 + -2y

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