5[7-5(6-y)]=7[5(7y-6)+4]-50

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Solution for 5[7-5(6-y)]=7[5(7y-6)+4]-50 equation: 


Simplifying
5[7 + -5(6 + -1y)] = 7[5(7y + -6) + 4] + -50
5[7 + (6 * -5 + -1y * -5)] = 7[5(7y + -6) + 4] + -50
5[7 + (-30 + 5y)] = 7[5(7y + -6) + 4] + -50

Combine like terms: 7 + -30 = -23
5[-23 + 5y] = 7[5(7y + -6) + 4] + -50
[-23 * 5 + 5y * 5] = 7[5(7y + -6) + 4] + -50
[-115 + 25y] = 7[5(7y + -6) + 4] + -50

Reorder the terms:
-115 + 25y = 7[5(-6 + 7y) + 4] + -50
-115 + 25y = 7[(-6 * 5 + 7y * 5) + 4] + -50
-115 + 25y = 7[(-30 + 35y) + 4] + -50

Reorder the terms:
-115 + 25y = 7[-30 + 4 + 35y] + -50

Combine like terms: -30 + 4 = -26
-115 + 25y = 7[-26 + 35y] + -50
-115 + 25y = [-26 * 7 + 35y * 7] + -50
-115 + 25y = [-182 + 245y] + -50

Reorder the terms:
-115 + 25y = -182 + -50 + 245y

Combine like terms: -182 + -50 = -232
-115 + 25y = -232 + 245y

Solving
-115 + 25y = -232 + 245y

Solving for variable 'y'.

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

Add '-245y' to each side of the equation.
-115 + 25y + -245y = -232 + 245y + -245y

Combine like terms: 25y + -245y = -220y
-115 + -220y = -232 + 245y + -245y

Combine like terms: 245y + -245y = 0
-115 + -220y = -232 + 0
-115 + -220y = -232

Add '115' to each side of the equation.
-115 + 115 + -220y = -232 + 115

Combine like terms: -115 + 115 = 0
0 + -220y = -232 + 115
-220y = -232 + 115

Combine like terms: -232 + 115 = -117
-220y = -117

Divide each side by '-220'.
y = 0.5318181818

Simplifying
y = 0.5318181818

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