13y^2-8=9y^2+1

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Solution for 13y^2-8=9y^2+1 equation: 


Simplifying
13y2 + -8 = 9y2 + 1

Reorder the terms:
-8 + 13y2 = 9y2 + 1

Reorder the terms:
-8 + 13y2 = 1 + 9y2

Solving
-8 + 13y2 = 1 + 9y2

Solving for variable 'y'.

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

Add '-9y2' to each side of the equation.
-8 + 13y2 + -9y2 = 1 + 9y2 + -9y2

Combine like terms: 13y2 + -9y2 = 4y2
-8 + 4y2 = 1 + 9y2 + -9y2

Combine like terms: 9y2 + -9y2 = 0
-8 + 4y2 = 1 + 0
-8 + 4y2 = 1

Add '8' to each side of the equation.
-8 + 8 + 4y2 = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 4y2 = 1 + 8
4y2 = 1 + 8

Combine like terms: 1 + 8 = 9
4y2 = 9

Divide each side by '4'.
y2 = 2.25

Simplifying
y2 = 2.25

Take the square root of each side:
y = {-1.5, 1.5}

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