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Simplifying
15y2 + -240 = 0
Reorder the terms:
-240 + 15y2 = 0
Solving
-240 + 15y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '240' to each side of the equation.
-240 + 240 + 15y2 = 0 + 240
Combine like terms: -240 + 240 = 0
0 + 15y2 = 0 + 240
15y2 = 0 + 240
Combine like terms: 0 + 240 = 240
15y2 = 240
Divide each side by '15'.
y2 = 16
Simplifying
y2 = 16
Take the square root of each side:
y = {-4, 4}
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