2y^2-8=4-2y^2

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Solution for 2y^2-8=4-2y^2 equation:


Simplifying
2y2 + -8 = 4 + -2y2

Reorder the terms:
-8 + 2y2 = 4 + -2y2

Solving
-8 + 2y2 = 4 + -2y2

Solving for variable 'y'.

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

Add '2y2' to each side of the equation.
-8 + 2y2 + 2y2 = 4 + -2y2 + 2y2

Combine like terms: 2y2 + 2y2 = 4y2
-8 + 4y2 = 4 + -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-8 + 4y2 = 4 + 0
-8 + 4y2 = 4

Add '8' to each side of the equation.
-8 + 8 + 4y2 = 4 + 8

Combine like terms: -8 + 8 = 0
0 + 4y2 = 4 + 8
4y2 = 4 + 8

Combine like terms: 4 + 8 = 12
4y2 = 12

Divide each side by '4'.
y2 = 3

Simplifying
y2 = 3

Take the square root of each side:
y = {-1.732050808, 1.732050808}

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