6-3[4-(5y-3)]=

Solution for 6-3[4-(5y-3)]= equation:

Simplifying
6 + -3[4 + -1(5y + -3)] = 0

Reorder the terms:
6 + -3[4 + -1(-3 + 5y)] = 0
6 + -3[4 + (-3 * -1 + 5y * -1)] = 0
6 + -3[4 + (3 + -5y)] = 0

Combine like terms: 4 + 3 = 7
6 + -3[7 + -5y] = 0
6 + [7 * -3 + -5y * -3] = 0
6 + [-21 + 15y] = 0

Combine like terms: 6 + -21 = -15
-15 + 15y = 0

Solving
-15 + 15y = 0

Solving for variable 'y'.

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

Add '15' to each side of the equation.
-15 + 15 + 15y = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 15y = 0 + 15
15y = 0 + 15

Combine like terms: 0 + 15 = 15
15y = 15

Divide each side by '15'.
y = 1

Simplifying
y = 1