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Simplifying
3y2 = 12y2 + -81
Reorder the terms:
3y2 = -81 + 12y2
Solving
3y2 = -81 + 12y2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-12y2' to each side of the equation.
3y2 + -12y2 = -81 + 12y2 + -12y2
Combine like terms: 3y2 + -12y2 = -9y2
-9y2 = -81 + 12y2 + -12y2
Combine like terms: 12y2 + -12y2 = 0
-9y2 = -81 + 0
-9y2 = -81
Divide each side by '-9'.
y2 = 9
Simplifying
y2 = 9
Take the square root of each side:
y = {-3, 3}
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