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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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