.25(8y+12)-9=-14.2857142857(7y-63)

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Solution for .25(8y+12)-9=-14.2857142857(7y-63) equation:


Simplifying
0.25(8y + 12) + -9 = -14.2857142857(7y + -63)

Reorder the terms:
0.25(12 + 8y) + -9 = -14.2857142857(7y + -63)
(12 * 0.25 + 8y * 0.25) + -9 = -14.2857142857(7y + -63)
(3 + 2y) + -9 = -14.2857142857(7y + -63)

Reorder the terms:
3 + -9 + 2y = -14.2857142857(7y + -63)

Combine like terms: 3 + -9 = -6
-6 + 2y = -14.2857142857(7y + -63)

Reorder the terms:
-6 + 2y = -14.2857142857(-63 + 7y)
-6 + 2y = (-63 * -14.2857142857 + 7y * -14.2857142857)
-6 + 2y = (900 + -100y)

Solving
-6 + 2y = 900 + -100y

Solving for variable 'y'.

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

Add '100y' to each side of the equation.
-6 + 2y + 100y = 900 + -100y + 100y

Combine like terms: 2y + 100y = 102y
-6 + 102y = 900 + -100y + 100y

Combine like terms: -100y + 100y = 0
-6 + 102y = 900 + 0
-6 + 102y = 900

Add '6' to each side of the equation.
-6 + 6 + 102y = 900 + 6

Combine like terms: -6 + 6 = 0
0 + 102y = 900 + 6
102y = 900 + 6

Combine like terms: 900 + 6 = 906
102y = 906

Divide each side by '102'.
y = 8.882352941

Simplifying
y = 8.882352941

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