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

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


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

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

Reorder the terms:
-115 + -7 + 25y = 7(5(7y + -6) + 4) + -50

Combine like terms: -115 + -7 = -122
-122 + 25y = 7(5(7y + -6) + 4) + -50

Reorder the terms:
-122 + 25y = 7(5(-6 + 7y) + 4) + -50
-122 + 25y = 7((-6 * 5 + 7y * 5) + 4) + -50
-122 + 25y = 7((-30 + 35y) + 4) + -50

Reorder the terms:
-122 + 25y = 7(-30 + 4 + 35y) + -50

Combine like terms: -30 + 4 = -26
-122 + 25y = 7(-26 + 35y) + -50
-122 + 25y = (-26 * 7 + 35y * 7) + -50
-122 + 25y = (-182 + 245y) + -50

Reorder the terms:
-122 + 25y = -182 + -50 + 245y

Combine like terms: -182 + -50 = -232
-122 + 25y = -232 + 245y

Solving
-122 + 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.
-122 + 25y + -245y = -232 + 245y + -245y

Combine like terms: 25y + -245y = -220y
-122 + -220y = -232 + 245y + -245y

Combine like terms: 245y + -245y = 0
-122 + -220y = -232 + 0
-122 + -220y = -232

Add '122' to each side of the equation.
-122 + 122 + -220y = -232 + 122

Combine like terms: -122 + 122 = 0
0 + -220y = -232 + 122
-220y = -232 + 122

Combine like terms: -232 + 122 = -110
-220y = -110

Divide each side by '-220'.
y = 0.5

Simplifying
y = 0.5

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