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Simplifying
(4y2) + -1(2 + -1y2) = 11
(4y2) + (2 * -1 + -1y2 * -1) = 11
(4y2) + (-2 + 1y2) = 11
Reorder the terms:
-2 + (4y2) + 1y2 = 11
Combine like terms: (4y2) + 1y2 = 5y2
-2 + 5y2 = 11
Solving
-2 + 5y2 = 11
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 5y2 = 11 + 2
Combine like terms: -2 + 2 = 0
0 + 5y2 = 11 + 2
5y2 = 11 + 2
Combine like terms: 11 + 2 = 13
5y2 = 13
Divide each side by '5'.
y2 = 2.6
Simplifying
y2 = 2.6
Take the square root of each side:
y = {-1.61245155, 1.61245155}
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