(y^2-2y)+(2y-y^2)-(y-2)=

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Solution for (y^2-2y)+(2y-y^2)-(y-2)= equation:


Simplifying
(y2 + -2y) + (2y + -1y2) + -1(y + -2) = 0

Reorder the terms:
(-2y + y2) + (2y + -1y2) + -1(y + -2) = 0

Remove parenthesis around (-2y + y2)
-2y + y2 + (2y + -1y2) + -1(y + -2) = 0

Remove parenthesis around (2y + -1y2)
-2y + y2 + 2y + -1y2 + -1(y + -2) = 0

Reorder the terms:
-2y + y2 + 2y + -1y2 + -1(-2 + y) = 0
-2y + y2 + 2y + -1y2 + (-2 * -1 + y * -1) = 0
-2y + y2 + 2y + -1y2 + (2 + -1y) = 0

Reorder the terms:
2 + -2y + 2y + -1y + y2 + -1y2 = 0

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

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

Solving
2 + -1y = 0

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

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

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

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

Simplifying
y = 2

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