y^2=4y^2-2

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


Simplifying
y2 = 4y2 + -2

Reorder the terms:
y2 = -2 + 4y2

Solving
y2 = -2 + 4y2

Solving for variable 'y'.

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

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

Combine like terms: y2 + -4y2 = -3y2
-3y2 = -2 + 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-3y2 = -2 + 0
-3y2 = -2

Divide each side by '-3'.
y2 = 0.6666666667

Simplifying
y2 = 0.6666666667

Take the square root of each side:
y = {-0.816496581, 0.816496581}

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