2y+2Y(y-2)=5Y-3(y-10)

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Solution for 2y+2Y(y-2)=5Y-3(y-10) equation: 


Simplifying
2y + 2Y(y + -2) = 5Y + -3(y + -10)

Reorder the terms:
2y + 2Y(-2 + y) = 5Y + -3(y + -10)
2y + (-2 * 2Y + y * 2Y) = 5Y + -3(y + -10)
2y + (-4Y + 2yY) = 5Y + -3(y + -10)

Reorder the terms:
-4Y + 2y + 2yY = 5Y + -3(y + -10)

Reorder the terms:
-4Y + 2y + 2yY = 5Y + -3(-10 + y)
-4Y + 2y + 2yY = 5Y + (-10 * -3 + y * -3)
-4Y + 2y + 2yY = 5Y + (30 + -3y)

Reorder the terms:
-4Y + 2y + 2yY = 30 + 5Y + -3y

Solving
-4Y + 2y + 2yY = 30 + 5Y + -3y

Solving for variable 'Y'.

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

Add '-5Y' to each side of the equation.
-4Y + 2y + -5Y + 2yY = 30 + 5Y + -5Y + -3y

Reorder the terms:
-4Y + -5Y + 2y + 2yY = 30 + 5Y + -5Y + -3y

Combine like terms: -4Y + -5Y = -9Y
-9Y + 2y + 2yY = 30 + 5Y + -5Y + -3y

Combine like terms: 5Y + -5Y = 0
-9Y + 2y + 2yY = 30 + 0 + -3y
-9Y + 2y + 2yY = 30 + -3y

Add '-2y' to each side of the equation.
-9Y + 2y + -2y + 2yY = 30 + -3y + -2y

Combine like terms: 2y + -2y = 0
-9Y + 0 + 2yY = 30 + -3y + -2y
-9Y + 2yY = 30 + -3y + -2y

Combine like terms: -3y + -2y = -5y
-9Y + 2yY = 30 + -5y

Reorder the terms:
-30 + -9Y + 5y + 2yY = 30 + -5y + -30 + 5y

Reorder the terms:
-30 + -9Y + 5y + 2yY = 30 + -30 + -5y + 5y

Combine like terms: 30 + -30 = 0
-30 + -9Y + 5y + 2yY = 0 + -5y + 5y
-30 + -9Y + 5y + 2yY = -5y + 5y

Combine like terms: -5y + 5y = 0
-30 + -9Y + 5y + 2yY = 0

The solution to this equation could not be determined.

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