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Simplifying
5y2 + -7 = 42
Reorder the terms:
-7 + 5y2 = 42
Solving
-7 + 5y2 = 42
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 = 42 + 7
Combine like terms: -7 + 7 = 0
0 + 5y2 = 42 + 7
5y2 = 42 + 7
Combine like terms: 42 + 7 = 49
5y2 = 49
Divide each side by '5'.
y2 = 9.8
Simplifying
y2 = 9.8
Take the square root of each side:
y = {-3.130495169, 3.130495169}
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