7[9-7(8-y)]-9=9[7(9y-8)+6]-82

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Solution for 7[9-7(8-y)]-9=9[7(9y-8)+6]-82 equation: 


Simplifying
7[9 + -7(8 + -1y)] + -9 = 9[7(9y + -8) + 6] + -82
7[9 + (8 * -7 + -1y * -7)] + -9 = 9[7(9y + -8) + 6] + -82
7[9 + (-56 + 7y)] + -9 = 9[7(9y + -8) + 6] + -82

Combine like terms: 9 + -56 = -47
7[-47 + 7y] + -9 = 9[7(9y + -8) + 6] + -82
[-47 * 7 + 7y * 7] + -9 = 9[7(9y + -8) + 6] + -82
[-329 + 49y] + -9 = 9[7(9y + -8) + 6] + -82

Reorder the terms:
-329 + -9 + 49y = 9[7(9y + -8) + 6] + -82

Combine like terms: -329 + -9 = -338
-338 + 49y = 9[7(9y + -8) + 6] + -82

Reorder the terms:
-338 + 49y = 9[7(-8 + 9y) + 6] + -82
-338 + 49y = 9[(-8 * 7 + 9y * 7) + 6] + -82
-338 + 49y = 9[(-56 + 63y) + 6] + -82

Reorder the terms:
-338 + 49y = 9[-56 + 6 + 63y] + -82

Combine like terms: -56 + 6 = -50
-338 + 49y = 9[-50 + 63y] + -82
-338 + 49y = [-50 * 9 + 63y * 9] + -82
-338 + 49y = [-450 + 567y] + -82

Reorder the terms:
-338 + 49y = -450 + -82 + 567y

Combine like terms: -450 + -82 = -532
-338 + 49y = -532 + 567y

Solving
-338 + 49y = -532 + 567y

Solving for variable 'y'.

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

Add '-567y' to each side of the equation.
-338 + 49y + -567y = -532 + 567y + -567y

Combine like terms: 49y + -567y = -518y
-338 + -518y = -532 + 567y + -567y

Combine like terms: 567y + -567y = 0
-338 + -518y = -532 + 0
-338 + -518y = -532

Add '338' to each side of the equation.
-338 + 338 + -518y = -532 + 338

Combine like terms: -338 + 338 = 0
0 + -518y = -532 + 338
-518y = -532 + 338

Combine like terms: -532 + 338 = -194
-518y = -194

Divide each side by '-518'.
y = 0.3745173745

Simplifying
y = 0.3745173745

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