7(Y^2)+8=3(y-4)-2

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Solution for 7(Y^2)+8=3(y-4)-2 equation:


Simplifying
7(Y2) + 8 = 3(y + -4) + -2

Reorder the terms:
8 + 7Y2 = 3(y + -4) + -2

Reorder the terms:
8 + 7Y2 = 3(-4 + y) + -2
8 + 7Y2 = (-4 * 3 + y * 3) + -2
8 + 7Y2 = (-12 + 3y) + -2

Reorder the terms:
8 + 7Y2 = -12 + -2 + 3y

Combine like terms: -12 + -2 = -14
8 + 7Y2 = -14 + 3y

Solving
8 + 7Y2 = -14 + 3y

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 7Y2 = -14 + -8 + 3y

Combine like terms: 8 + -8 = 0
0 + 7Y2 = -14 + -8 + 3y
7Y2 = -14 + -8 + 3y

Combine like terms: -14 + -8 = -22
7Y2 = -22 + 3y

Divide each side by '7'.
Y2 = -3.142857143 + 0.4285714286y

Simplifying
Y2 = -3.142857143 + 0.4285714286y

Reorder the terms:
3.142857143 + Y2 + -0.4285714286y = -3.142857143 + 0.4285714286y + 3.142857143 + -0.4285714286y

Reorder the terms:
3.142857143 + Y2 + -0.4285714286y = -3.142857143 + 3.142857143 + 0.4285714286y + -0.4285714286y

Combine like terms: -3.142857143 + 3.142857143 = 0.000000000
3.142857143 + Y2 + -0.4285714286y = 0.000000000 + 0.4285714286y + -0.4285714286y
3.142857143 + Y2 + -0.4285714286y = 0.4285714286y + -0.4285714286y

Combine like terms: 0.4285714286y + -0.4285714286y = 0.0000000000
3.142857143 + Y2 + -0.4285714286y = 0.0000000000

The solution to this equation could not be determined.

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