3[4-(y+5)]=3(3y+1)

Solution for 3[4-(y+5)]=3(3y+1) equation:

Simplifying
3[4 + -1(y + 5)] = 3(3y + 1)

Reorder the terms:
3[4 + -1(5 + y)] = 3(3y + 1)
3[4 + (5 * -1 + y * -1)] = 3(3y + 1)
3[4 + (-5 + -1y)] = 3(3y + 1)

Combine like terms: 4 + -5 = -1
3[-1 + -1y] = 3(3y + 1)
[-1 * 3 + -1y * 3] = 3(3y + 1)
[-3 + -3y] = 3(3y + 1)

Reorder the terms:
-3 + -3y = 3(1 + 3y)
-3 + -3y = (1 * 3 + 3y * 3)
-3 + -3y = (3 + 9y)

Solving
-3 + -3y = 3 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-3 + -3y + -9y = 3 + 9y + -9y

Combine like terms: -3y + -9y = -12y
-3 + -12y = 3 + 9y + -9y

Combine like terms: 9y + -9y = 0
-3 + -12y = 3 + 0
-3 + -12y = 3

Add '3' to each side of the equation.
-3 + 3 + -12y = 3 + 3

Combine like terms: -3 + 3 = 0
0 + -12y = 3 + 3
-12y = 3 + 3

Combine like terms: 3 + 3 = 6
-12y = 6

Divide each side by '-12'.
y = -0.5

Simplifying
y = -0.5