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

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


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

Remove parenthesis around (-1y)
5[7 + -5 * -1y] + -7 = 7[5(7y + -6) + 4] + -50

Multiply -5 * -1
5[7 + 5y] + -7 = 7[5(7y + -6) + 4] + -50
[7 * 5 + 5y * 5] + -7 = 7[5(7y + -6) + 4] + -50
[35 + 25y] + -7 = 7[5(7y + -6) + 4] + -50

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

Combine like terms: 35 + -7 = 28
28 + 25y = 7[5(7y + -6) + 4] + -50

Reorder the terms:
28 + 25y = 7[5(-6 + 7y) + 4] + -50
28 + 25y = 7[(-6 * 5 + 7y * 5) + 4] + -50
28 + 25y = 7[(-30 + 35y) + 4] + -50

Reorder the terms:
28 + 25y = 7[-30 + 4 + 35y] + -50

Combine like terms: -30 + 4 = -26
28 + 25y = 7[-26 + 35y] + -50
28 + 25y = [-26 * 7 + 35y * 7] + -50
28 + 25y = [-182 + 245y] + -50

Reorder the terms:
28 + 25y = -182 + -50 + 245y

Combine like terms: -182 + -50 = -232
28 + 25y = -232 + 245y

Solving
28 + 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.
28 + 25y + -245y = -232 + 245y + -245y

Combine like terms: 25y + -245y = -220y
28 + -220y = -232 + 245y + -245y

Combine like terms: 245y + -245y = 0
28 + -220y = -232 + 0
28 + -220y = -232

Add '-28' to each side of the equation.
28 + -28 + -220y = -232 + -28

Combine like terms: 28 + -28 = 0
0 + -220y = -232 + -28
-220y = -232 + -28

Combine like terms: -232 + -28 = -260
-220y = -260

Divide each side by '-220'.
y = 1.181818182

Simplifying
y = 1.181818182

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