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Simplifying
4(4.15y)(5.25y) = 852.15
Remove parenthesis around (4.15y)
4 * 4.15y(5.25y) = 852.15
Remove parenthesis around (5.25y)
4 * 4.15y * 5.25y = 852.15
Reorder the terms for easier multiplication:
4 * 4.15 * 5.25y * y = 852.15
Multiply 4 * 4.15
16.6 * 5.25y * y = 852.15
Multiply 16.6 * 5.25
87.15y * y = 852.15
Multiply y * y
87.15y2 = 852.15
Solving
87.15y2 = 852.15
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Divide each side by '87.15'.
y2 = 9.777969019
Simplifying
y2 = 9.777969019
Take the square root of each side:
y = {-3.126974419, 3.126974419}
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