6y^2-40+4y^2=180

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Solution for 6y^2-40+4y^2=180 equation:


Simplifying
6y2 + -40 + 4y2 = 180

Reorder the terms:
-40 + 6y2 + 4y2 = 180

Combine like terms: 6y2 + 4y2 = 10y2
-40 + 10y2 = 180

Solving
-40 + 10y2 = 180

Solving for variable 'y'.

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

Add '40' to each side of the equation.
-40 + 40 + 10y2 = 180 + 40

Combine like terms: -40 + 40 = 0
0 + 10y2 = 180 + 40
10y2 = 180 + 40

Combine like terms: 180 + 40 = 220
10y2 = 220

Divide each side by '10'.
y2 = 22

Simplifying
y2 = 22

Take the square root of each side:
y = {-4.69041576, 4.69041576}

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