4(x+9y)-[-2(2x+y)]=

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Solution for 4(x+9y)-[-2(2x+y)]= equation:


Simplifying
4(x + 9y) + -1[-2(2x + y)] = 0
(x * 4 + 9y * 4) + -1[-2(2x + y)] = 0
(4x + 36y) + -1[-2(2x + y)] = 0
4x + 36y + -1[(2x * -2 + y * -2)] = 0
4x + 36y + -1[(-4x + -2y)] = 0
4x + 36y + [-4x * -1 + -2y * -1] = 0
4x + 36y + [4x + 2y] = 0

Reorder the terms:
4x + 4x + 36y + 2y = 0

Combine like terms: 4x + 4x = 8x
8x + 36y + 2y = 0

Combine like terms: 36y + 2y = 38y
8x + 38y = 0

Solving
8x + 38y = 0

Solving for variable 'x'.

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

Add '-38y' to each side of the equation.
8x + 38y + -38y = 0 + -38y

Combine like terms: 38y + -38y = 0
8x + 0 = 0 + -38y
8x = 0 + -38y
Remove the zero:
8x = -38y

Divide each side by '8'.
x = -4.75y

Simplifying
x = -4.75y

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