5-8[3-(2y-6)]=

Solution for 5-8[3-(2y-6)]= equation:

Simplifying
5 + -8[3 + -1(2y + -6)] = 0

Reorder the terms:
5 + -8[3 + -1(-6 + 2y)] = 0
5 + -8[3 + (-6 * -1 + 2y * -1)] = 0
5 + -8[3 + (6 + -2y)] = 0

Combine like terms: 3 + 6 = 9
5 + -8[9 + -2y] = 0
5 + [9 * -8 + -2y * -8] = 0
5 + [-72 + 16y] = 0

Combine like terms: 5 + -72 = -67
-67 + 16y = 0

Solving
-67 + 16y = 0

Solving for variable 'y'.

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

Add '67' to each side of the equation.
-67 + 67 + 16y = 0 + 67

Combine like terms: -67 + 67 = 0
0 + 16y = 0 + 67
16y = 0 + 67

Combine like terms: 0 + 67 = 67
16y = 67

Divide each side by '16'.
y = 4.1875

Simplifying
y = 4.1875