3-4[6-(2y-3)]=

Solution for 3-4[6-(2y-3)]= equation:

Simplifying
3 + -4[6 + -1(2y + -3)] = 0

Reorder the terms:
3 + -4[6 + -1(-3 + 2y)] = 0
3 + -4[6 + (-3 * -1 + 2y * -1)] = 0
3 + -4[6 + (3 + -2y)] = 0

Combine like terms: 6 + 3 = 9
3 + -4[9 + -2y] = 0
3 + [9 * -4 + -2y * -4] = 0
3 + [-36 + 8y] = 0

Combine like terms: 3 + -36 = -33
-33 + 8y = 0

Solving
-33 + 8y = 0

Solving for variable 'y'.

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

Add '33' to each side of the equation.
-33 + 33 + 8y = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 8y = 0 + 33
8y = 0 + 33

Combine like terms: 0 + 33 = 33
8y = 33

Divide each side by '8'.
y = 4.125

Simplifying
y = 4.125