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Simplifying
4y2 + -1(3 + -1y2) = 0
4y2 + (3 * -1 + -1y2 * -1) = 0
4y2 + (-3 + 1y2) = 0
Reorder the terms:
-3 + 4y2 + 1y2 = 0
Combine like terms: 4y2 + 1y2 = 5y2
-3 + 5y2 = 0
Solving
-3 + 5y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 5y2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 5y2 = 0 + 3
5y2 = 0 + 3
Combine like terms: 0 + 3 = 3
5y2 = 3
Divide each side by '5'.
y2 = 0.6
Simplifying
y2 = 0.6
Take the square root of each side:
y = {-0.774596669, 0.774596669}
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