3y^2-1=47

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Solution for 3y^2-1=47 equation: 


Simplifying
3y2 + -1 = 47

Reorder the terms:
-1 + 3y2 = 47

Solving
-1 + 3y2 = 47

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + 3y2 = 47 + 1

Combine like terms: -1 + 1 = 0
0 + 3y2 = 47 + 1
3y2 = 47 + 1

Combine like terms: 47 + 1 = 48
3y2 = 48

Divide each side by '3'.
y2 = 16

Simplifying
y2 = 16

Take the square root of each side:
y = {-4, 4}

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