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

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


Simplifying
y(y + 1) + -3y = y * y + y

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

Reorder the terms:
1y + -3y + y2 = y * y + y

Combine like terms: 1y + -3y = -2y
-2y + y2 = y * y + y

Multiply y * y
-2y + y2 = y2 + y

Reorder the terms:
-2y + y2 = y + y2

Add '-1y2' to each side of the equation.
-2y + y2 + -1y2 = y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-2y + 0 = y + y2 + -1y2
-2y = y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-2y = y + 0
-2y = y

Solving
-2y = y

Solving for variable 'y'.

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

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

Combine like terms: -2y + -1y = -3y
-3y = y + -1y

Combine like terms: y + -1y = 0
-3y = 0

Divide each side by '-3'.
y = 0

Simplifying
y = 0

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