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Simplifying
7y2 = 3 + 4y2
Solving
7y2 = 3 + 4y2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-4y2' to each side of the equation.
7y2 + -4y2 = 3 + 4y2 + -4y2
Combine like terms: 7y2 + -4y2 = 3y2
3y2 = 3 + 4y2 + -4y2
Combine like terms: 4y2 + -4y2 = 0
3y2 = 3 + 0
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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