4y^2=6y^2-40

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Solution for 4y^2=6y^2-40 equation: 


Simplifying
4y2 = 6y2 + -40

Reorder the terms:
4y2 = -40 + 6y2

Solving
4y2 = -40 + 6y2

Solving for variable 'y'.

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

Add '-6y2' to each side of the equation.
4y2 + -6y2 = -40 + 6y2 + -6y2

Combine like terms: 4y2 + -6y2 = -2y2
-2y2 = -40 + 6y2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
-2y2 = -40 + 0
-2y2 = -40

Divide each side by '-2'.
y2 = 20

Simplifying
y2 = 20

Take the square root of each side:
y = {-4.472135955, 4.472135955}

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