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Simplifying
0.5 = -16y2 + 60
Reorder the terms:
0.5 = 60 + -16y2
Solving
0.5 = 60 + -16y2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '16y2' to each side of the equation.
0.5 + 16y2 = 60 + -16y2 + 16y2
Combine like terms: -16y2 + 16y2 = 0
0.5 + 16y2 = 60 + 0
0.5 + 16y2 = 60
Add '-0.5' to each side of the equation.
0.5 + -0.5 + 16y2 = 60 + -0.5
Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 16y2 = 60 + -0.5
16y2 = 60 + -0.5
Combine like terms: 60 + -0.5 = 59.5
16y2 = 59.5
Divide each side by '16'.
y2 = 3.71875
Simplifying
y2 = 3.71875
Take the square root of each side:
y = {-1.928406078, 1.928406078}
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