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Simplifying
4(36 + -1y2) + -9y2 = 36
(36 * 4 + -1y2 * 4) + -9y2 = 36
(144 + -4y2) + -9y2 = 36
Combine like terms: -4y2 + -9y2 = -13y2
144 + -13y2 = 36
Solving
144 + -13y2 = 36
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-144' to each side of the equation.
144 + -144 + -13y2 = 36 + -144
Combine like terms: 144 + -144 = 0
0 + -13y2 = 36 + -144
-13y2 = 36 + -144
Combine like terms: 36 + -144 = -108
-13y2 = -108
Divide each side by '-13'.
y2 = 8.307692308
Simplifying
y2 = 8.307692308
Take the square root of each side:
y = {-2.882306769, 2.882306769}
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