5y^2-77=2.4y^2-70

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Solution for 5y^2-77=2.4y^2-70 equation: 


Simplifying
5y2 + -77 = 2.4y2 + -70

Reorder the terms:
-77 + 5y2 = 2.4y2 + -70

Reorder the terms:
-77 + 5y2 = -70 + 2.4y2

Solving
-77 + 5y2 = -70 + 2.4y2

Solving for variable 'y'.

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

Add '-2.4y2' to each side of the equation.
-77 + 5y2 + -2.4y2 = -70 + 2.4y2 + -2.4y2

Combine like terms: 5y2 + -2.4y2 = 2.6y2
-77 + 2.6y2 = -70 + 2.4y2 + -2.4y2

Combine like terms: 2.4y2 + -2.4y2 = 0.0
-77 + 2.6y2 = -70 + 0.0
-77 + 2.6y2 = -70

Add '77' to each side of the equation.
-77 + 77 + 2.6y2 = -70 + 77

Combine like terms: -77 + 77 = 0
0 + 2.6y2 = -70 + 77
2.6y2 = -70 + 77

Combine like terms: -70 + 77 = 7
2.6y2 = 7

Divide each side by '2.6'.
y2 = 2.692307692

Simplifying
y2 = 2.692307692

Take the square root of each side:
y = {-1.640825308, 1.640825308}

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