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Simplifying
-3y2 + 7 + 8y2 + -14 = 0
Reorder the terms:
7 + -14 + -3y2 + 8y2 = 0
Combine like terms: 7 + -14 = -7
-7 + -3y2 + 8y2 = 0
Combine like terms: -3y2 + 8y2 = 5y2
-7 + 5y2 = 0
Solving
-7 + 5y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 5y2 = 0 + 7
Combine like terms: -7 + 7 = 0
0 + 5y2 = 0 + 7
5y2 = 0 + 7
Combine like terms: 0 + 7 = 7
5y2 = 7
Divide each side by '5'.
y2 = 1.4
Simplifying
y2 = 1.4
Take the square root of each side:
y = {-1.183215957, 1.183215957}
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