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Simplifying
7 + 2y2 + 4y2 = 37
Combine like terms: 2y2 + 4y2 = 6y2
7 + 6y2 = 37
Solving
7 + 6y2 = 37
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 + 6y2 = 37 + -7
Combine like terms: 7 + -7 = 0
0 + 6y2 = 37 + -7
6y2 = 37 + -7
Combine like terms: 37 + -7 = 30
6y2 = 30
Divide each side by '6'.
y2 = 5
Simplifying
y2 = 5
Take the square root of each side:
y = {-2.236067978, 2.236067978}
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