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Simplifying
4y2 + 7 = 263
Reorder the terms:
7 + 4y2 = 263
Solving
7 + 4y2 = 263
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 = 263 + -7
Combine like terms: 7 + -7 = 0
0 + 4y2 = 263 + -7
4y2 = 263 + -7
Combine like terms: 263 + -7 = 256
4y2 = 256
Divide each side by '4'.
y2 = 64
Simplifying
y2 = 64
Take the square root of each side:
y = {-8, 8}
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