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Simplifying
7y2 + -42 = 0
Reorder the terms:
-42 + 7y2 = 0
Solving
-42 + 7y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '42' to each side of the equation.
-42 + 42 + 7y2 = 0 + 42
Combine like terms: -42 + 42 = 0
0 + 7y2 = 0 + 42
7y2 = 0 + 42
Combine like terms: 0 + 42 = 42
7y2 = 42
Divide each side by '7'.
y2 = 6
Simplifying
y2 = 6
Take the square root of each side:
y = {-2.449489743, 2.449489743}
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