5y^2-8=12

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Solution for 5y^2-8=12 equation: 


Simplifying
5y2 + -8 = 12

Reorder the terms:
-8 + 5y2 = 12

Solving
-8 + 5y2 = 12

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 5y2 = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 5y2 = 12 + 8
5y2 = 12 + 8

Combine like terms: 12 + 8 = 20
5y2 = 20

Divide each side by '5'.
y2 = 4

Simplifying
y2 = 4

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

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