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Simplifying
8 + -1 + 15y2 + -7 + -15 + -14y2 = 0
Reorder the terms:
8 + -1 + -7 + -15 + 15y2 + -14y2 = 0
Combine like terms: 8 + -1 = 7
7 + -7 + -15 + 15y2 + -14y2 = 0
Combine like terms: 7 + -7 = 0
0 + -15 + 15y2 + -14y2 = 0
-15 + 15y2 + -14y2 = 0
Combine like terms: 15y2 + -14y2 = 1y2
-15 + 1y2 = 0
Solving
-15 + 1y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 1y2 = 0 + 15
Combine like terms: -15 + 15 = 0
0 + 1y2 = 0 + 15
1y2 = 0 + 15
Combine like terms: 0 + 15 = 15
1y2 = 15
Divide each side by '1'.
y2 = 15
Simplifying
y2 = 15
Take the square root of each side:
y = {-3.872983346, 3.872983346}
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