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Simplifying
3y2 + 7 = 10
Reorder the terms:
7 + 3y2 = 10
Solving
7 + 3y2 = 10
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 + 3y2 = 10 + -7
Combine like terms: 7 + -7 = 0
0 + 3y2 = 10 + -7
3y2 = 10 + -7
Combine like terms: 10 + -7 = 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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