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Simplifying
4y2 + 7 = 19
Reorder the terms:
7 + 4y2 = 19
Solving
7 + 4y2 = 19
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 + 4y2 = 19 + -7
Combine like terms: 7 + -7 = 0
0 + 4y2 = 19 + -7
4y2 = 19 + -7
Combine like terms: 19 + -7 = 12
4y2 = 12
Divide each side by '4'.
y2 = 3
Simplifying
y2 = 3
Take the square root of each side:
y = {-1.732050808, 1.732050808}
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