1-2y=10(1-2y)2

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Solution for 1-2y=10(1-2y)2 equation: 


Simplifying
1 + -2y = 10(1 + -2y) * 2

Reorder the terms for easier multiplication:
1 + -2y = 10 * 2(1 + -2y)

Multiply 10 * 2
1 + -2y = 20(1 + -2y)
1 + -2y = (1 * 20 + -2y * 20)
1 + -2y = (20 + -40y)

Solving
1 + -2y = 20 + -40y

Solving for variable 'y'.

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

Add '40y' to each side of the equation.
1 + -2y + 40y = 20 + -40y + 40y

Combine like terms: -2y + 40y = 38y
1 + 38y = 20 + -40y + 40y

Combine like terms: -40y + 40y = 0
1 + 38y = 20 + 0
1 + 38y = 20

Add '-1' to each side of the equation.
1 + -1 + 38y = 20 + -1

Combine like terms: 1 + -1 = 0
0 + 38y = 20 + -1
38y = 20 + -1

Combine like terms: 20 + -1 = 19
38y = 19

Divide each side by '38'.
y = 0.5

Simplifying
y = 0.5

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