2y^2=4+y^2

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Solution for 2y^2=4+y^2 equation:


Simplifying
2y2 = 4 + y2

Solving
2y2 = 4 + y2

Solving for variable 'y'.

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

Add '-1y2' to each side of the equation.
2y2 + -1y2 = 4 + y2 + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
1y2 = 4 + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
1y2 = 4 + 0
1y2 = 4

Divide each side by '1'.
y2 = 4

Simplifying
y2 = 4

Take the square root of each side:
y = {-2, 2}

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