3[5-3(4-y)]-5=[3(5y-4)+2]-26

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Solution for 3[5-3(4-y)]-5=[3(5y-4)+2]-26 equation: 


Simplifying
3[5 + -3(4 + -1y)] + -5 = [3(5y + -4) + 2] + -26
3[5 + (4 * -3 + -1y * -3)] + -5 = [3(5y + -4) + 2] + -26
3[5 + (-12 + 3y)] + -5 = [3(5y + -4) + 2] + -26

Combine like terms: 5 + -12 = -7
3[-7 + 3y] + -5 = [3(5y + -4) + 2] + -26
[-7 * 3 + 3y * 3] + -5 = [3(5y + -4) + 2] + -26
[-21 + 9y] + -5 = [3(5y + -4) + 2] + -26

Reorder the terms:
-21 + -5 + 9y = [3(5y + -4) + 2] + -26

Combine like terms: -21 + -5 = -26
-26 + 9y = [3(5y + -4) + 2] + -26

Reorder the terms:
-26 + 9y = [3(-4 + 5y) + 2] + -26
-26 + 9y = [(-4 * 3 + 5y * 3) + 2] + -26
-26 + 9y = [(-12 + 15y) + 2] + -26

Reorder the terms:
-26 + 9y = [-12 + 2 + 15y] + -26

Combine like terms: -12 + 2 = -10
-26 + 9y = [-10 + 15y] + -26

Remove brackets around [-10 + 15y]
-26 + 9y = -10 + 15y + -26

Reorder the terms:
-26 + 9y = -10 + -26 + 15y

Combine like terms: -10 + -26 = -36
-26 + 9y = -36 + 15y

Solving
-26 + 9y = -36 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-26 + 9y + -15y = -36 + 15y + -15y

Combine like terms: 9y + -15y = -6y
-26 + -6y = -36 + 15y + -15y

Combine like terms: 15y + -15y = 0
-26 + -6y = -36 + 0
-26 + -6y = -36

Add '26' to each side of the equation.
-26 + 26 + -6y = -36 + 26

Combine like terms: -26 + 26 = 0
0 + -6y = -36 + 26
-6y = -36 + 26

Combine like terms: -36 + 26 = -10
-6y = -10

Divide each side by '-6'.
y = 1.666666667

Simplifying
y = 1.666666667

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