-9y+-1[2(1+3y)+6]=5y

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Solution for -9y+-1[2(1+3y)+6]=5y equation: 


Simplifying
-9y + -1[2(1 + 3y) + 6] = 5y
-9y + -1[(1 * 2 + 3y * 2) + 6] = 5y
-9y + -1[(2 + 6y) + 6] = 5y

Reorder the terms:
-9y + -1[2 + 6 + 6y] = 5y

Combine like terms: 2 + 6 = 8
-9y + -1[8 + 6y] = 5y
-9y + [8 * -1 + 6y * -1] = 5y
-9y + [-8 + -6y] = 5y

Reorder the terms:
-8 + -9y + -6y = 5y

Combine like terms: -9y + -6y = -15y
-8 + -15y = 5y

Solving
-8 + -15y = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-8 + -15y + -5y = 5y + -5y

Combine like terms: -15y + -5y = -20y
-8 + -20y = 5y + -5y

Combine like terms: 5y + -5y = 0
-8 + -20y = 0

Add '8' to each side of the equation.
-8 + 8 + -20y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -20y = 0 + 8
-20y = 0 + 8

Combine like terms: 0 + 8 = 8
-20y = 8

Divide each side by '-20'.
y = -0.4

Simplifying
y = -0.4

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