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Simplifying
16y2 + -2 = 19
Reorder the terms:
-2 + 16y2 = 19
Solving
-2 + 16y2 = 19
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 16y2 = 19 + 2
Combine like terms: -2 + 2 = 0
0 + 16y2 = 19 + 2
16y2 = 19 + 2
Combine like terms: 19 + 2 = 21
16y2 = 21
Divide each side by '16'.
y2 = 1.3125
Simplifying
y2 = 1.3125
Take the square root of each side:
y = {-1.145643924, 1.145643924}
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