7y^2=3y^2+36

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Solution for 7y^2=3y^2+36 equation: 


Simplifying
7y2 = 3y2 + 36

Reorder the terms:
7y2 = 36 + 3y2

Solving
7y2 = 36 + 3y2

Solving for variable 'y'.

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

Add '-3y2' to each side of the equation.
7y2 + -3y2 = 36 + 3y2 + -3y2

Combine like terms: 7y2 + -3y2 = 4y2
4y2 = 36 + 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
4y2 = 36 + 0
4y2 = 36

Divide each side by '4'.
y2 = 9

Simplifying
y2 = 9

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

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