4[y-(6+7y)+11]=y-5

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Solution for 4[y-(6+7y)+11]=y-5 equation: 


Simplifying
4[y + -1(6 + 7y) + 11] = y + -5
4[y + (6 * -1 + 7y * -1) + 11] = y + -5
4[y + (-6 + -7y) + 11] = y + -5

Reorder the terms:
4[-6 + 11 + y + -7y] = y + -5

Combine like terms: -6 + 11 = 5
4[5 + y + -7y] = y + -5

Combine like terms: y + -7y = -6y
4[5 + -6y] = y + -5
[5 * 4 + -6y * 4] = y + -5
[20 + -24y] = y + -5

Reorder the terms:
20 + -24y = -5 + y

Solving
20 + -24y = -5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
20 + -24y + -1y = -5 + y + -1y

Combine like terms: -24y + -1y = -25y
20 + -25y = -5 + y + -1y

Combine like terms: y + -1y = 0
20 + -25y = -5 + 0
20 + -25y = -5

Add '-20' to each side of the equation.
20 + -20 + -25y = -5 + -20

Combine like terms: 20 + -20 = 0
0 + -25y = -5 + -20
-25y = -5 + -20

Combine like terms: -5 + -20 = -25
-25y = -25

Divide each side by '-25'.
y = 1

Simplifying
y = 1

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