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Simplifying
3y2 = 15y2 + -144
Reorder the terms:
3y2 = -144 + 15y2
Solving
3y2 = -144 + 15y2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-15y2' to each side of the equation.
3y2 + -15y2 = -144 + 15y2 + -15y2
Combine like terms: 3y2 + -15y2 = -12y2
-12y2 = -144 + 15y2 + -15y2
Combine like terms: 15y2 + -15y2 = 0
-12y2 = -144 + 0
-12y2 = -144
Divide each side by '-12'.
y2 = 12
Simplifying
y2 = 12
Take the square root of each side:
y = {-3.464101615, 3.464101615}
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