y^2-xy+3=-xy+y+y^2

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Solution for y^2-xy+3=-xy+y+y^2 equation:


Simplifying
y2 + -1xy + 3 = -1xy + y + y2

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

Add 'xy' to each side of the equation.
3 + -1xy + xy + y2 = -1xy + y + xy + y2

Combine like terms: -1xy + xy = 0
3 + 0 + y2 = -1xy + y + xy + y2
3 + y2 = -1xy + y + xy + y2

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

Combine like terms: -1xy + xy = 0
3 + y2 = 0 + y + y2
3 + y2 = y + y2

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

Combine like terms: y2 + -1y2 = 0
3 + 0 = y + y2 + -1y2
3 = y + y2 + -1y2

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

Solving
3 = 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.
3 + -1y = y + -1y

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

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

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

Divide each side by '-1'.
y = 3

Simplifying
y = 3

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