3y-(y+2)*(1-2y)=10y-2y(1-y)

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Solution for 3y-(y+2)*(1-2y)=10y-2y(1-y) equation: 


Simplifying
3y + -1(y + 2)(1 + -2y) = 10y + -2y(1 + -1y)

Reorder the terms:
3y + -1(2 + y)(1 + -2y) = 10y + -2y(1 + -1y)

Multiply (2 + y) * (1 + -2y)
3y + -1(2(1 + -2y) + y(1 + -2y)) = 10y + -2y(1 + -1y)
3y + -1((1 * 2 + -2y * 2) + y(1 + -2y)) = 10y + -2y(1 + -1y)
3y + -1((2 + -4y) + y(1 + -2y)) = 10y + -2y(1 + -1y)
3y + -1(2 + -4y + (1 * y + -2y * y)) = 10y + -2y(1 + -1y)
3y + -1(2 + -4y + (1y + -2y2)) = 10y + -2y(1 + -1y)

Combine like terms: -4y + 1y = -3y
3y + -1(2 + -3y + -2y2) = 10y + -2y(1 + -1y)
3y + (2 * -1 + -3y * -1 + -2y2 * -1) = 10y + -2y(1 + -1y)
3y + (-2 + 3y + 2y2) = 10y + -2y(1 + -1y)

Reorder the terms:
-2 + 3y + 3y + 2y2 = 10y + -2y(1 + -1y)

Combine like terms: 3y + 3y = 6y
-2 + 6y + 2y2 = 10y + -2y(1 + -1y)
-2 + 6y + 2y2 = 10y + (1 * -2y + -1y * -2y)
-2 + 6y + 2y2 = 10y + (-2y + 2y2)

Combine like terms: 10y + -2y = 8y
-2 + 6y + 2y2 = 8y + 2y2

Add '-2y2' to each side of the equation.
-2 + 6y + 2y2 + -2y2 = 8y + 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-2 + 6y + 0 = 8y + 2y2 + -2y2
-2 + 6y = 8y + 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-2 + 6y = 8y + 0
-2 + 6y = 8y

Solving
-2 + 6y = 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-2 + 6y + -8y = 8y + -8y

Combine like terms: 6y + -8y = -2y
-2 + -2y = 8y + -8y

Combine like terms: 8y + -8y = 0
-2 + -2y = 0

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

Combine like terms: -2 + 2 = 0
0 + -2y = 0 + 2
-2y = 0 + 2

Combine like terms: 0 + 2 = 2
-2y = 2

Divide each side by '-2'.
y = -1

Simplifying
y = -1

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