2y^2-25=y^2+24

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Solution for 2y^2-25=y^2+24 equation: 


Simplifying
2y2 + -25 = y2 + 24

Reorder the terms:
-25 + 2y2 = y2 + 24

Reorder the terms:
-25 + 2y2 = 24 + y2

Solving
-25 + 2y2 = 24 + 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.
-25 + 2y2 + -1y2 = 24 + y2 + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
-25 + 1y2 = 24 + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-25 + 1y2 = 24 + 0
-25 + 1y2 = 24

Add '25' to each side of the equation.
-25 + 25 + 1y2 = 24 + 25

Combine like terms: -25 + 25 = 0
0 + 1y2 = 24 + 25
1y2 = 24 + 25

Combine like terms: 24 + 25 = 49
1y2 = 49

Divide each side by '1'.
y2 = 49

Simplifying
y2 = 49

Take the square root of each side:
y = {-7, 7}

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