4y^2-13=y^2+14

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Solution for 4y^2-13=y^2+14 equation: 


Simplifying
4y2 + -13 = y2 + 14

Reorder the terms:
-13 + 4y2 = y2 + 14

Reorder the terms:
-13 + 4y2 = 14 + y2

Solving
-13 + 4y2 = 14 + y2

Solving for variable 'y'.

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

Add '-1y2' to each side of the equation.
-13 + 4y2 + -1y2 = 14 + y2 + -1y2

Combine like terms: 4y2 + -1y2 = 3y2
-13 + 3y2 = 14 + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-13 + 3y2 = 14 + 0
-13 + 3y2 = 14

Add '13' to each side of the equation.
-13 + 13 + 3y2 = 14 + 13

Combine like terms: -13 + 13 = 0
0 + 3y2 = 14 + 13
3y2 = 14 + 13

Combine like terms: 14 + 13 = 27
3y2 = 27

Divide each side by '3'.
y2 = 9

Simplifying
y2 = 9

Take the square root of each side:
y = {-3, 3}

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