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Simplifying
4y2 + 4 = y2 + 7
Reorder the terms:
4 + 4y2 = y2 + 7
Reorder the terms:
4 + 4y2 = 7 + y2
Solving
4 + 4y2 = 7 + y2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-1y2' to each side of the equation.
4 + 4y2 + -1y2 = 7 + y2 + -1y2
Combine like terms: 4y2 + -1y2 = 3y2
4 + 3y2 = 7 + y2 + -1y2
Combine like terms: y2 + -1y2 = 0
4 + 3y2 = 7 + 0
4 + 3y2 = 7
Add '-4' to each side of the equation.
4 + -4 + 3y2 = 7 + -4
Combine like terms: 4 + -4 = 0
0 + 3y2 = 7 + -4
3y2 = 7 + -4
Combine like terms: 7 + -4 = 3
3y2 = 3
Divide each side by '3'.
y2 = 1
Simplifying
y2 = 1
Take the square root of each side:
y = {-1, 1}
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