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Simplifying
4y2 + 7 = 23
Reorder the terms:
7 + 4y2 = 23
Solving
7 + 4y2 = 23
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 = 23 + -7
Combine like terms: 7 + -7 = 0
0 + 4y2 = 23 + -7
4y2 = 23 + -7
Combine like terms: 23 + -7 = 16
4y2 = 16
Divide each side by '4'.
y2 = 4
Simplifying
y2 = 4
Take the square root of each side:
y = {-2, 2}
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