2x+(2b-1)y=4

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Solution for 2x+(2b-1)y=4 equation: 


Simplifying
2x + (2b + -1) * y = 4

Reorder the terms:
2x + (-1 + 2b) * y = 4

Reorder the terms for easier multiplication:
2x + y(-1 + 2b) = 4
2x + (-1 * y + 2b * y) = 4

Reorder the terms:
2x + (2by + -1y) = 4
2x + (2by + -1y) = 4

Reorder the terms:
2by + 2x + -1y = 4

Solving
2by + 2x + -1y = 4

Solving for variable 'b'.

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

Add '-2x' to each side of the equation.
2by + 2x + -2x + -1y = 4 + -2x

Combine like terms: 2x + -2x = 0
2by + 0 + -1y = 4 + -2x
2by + -1y = 4 + -2x

Add 'y' to each side of the equation.
2by + -1y + y = 4 + -2x + y

Combine like terms: -1y + y = 0
2by + 0 = 4 + -2x + y
2by = 4 + -2x + y

Divide each side by '2y'.
b = 2y-1 + -1xy-1 + 0.5

Simplifying
b = 2y-1 + -1xy-1 + 0.5

Reorder the terms:
b = 0.5 + -1xy-1 + 2y-1

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