2-5[5-(3Y-5)]=

Solution for 2-5[5-(3Y-5)]= equation:

Simplifying
2 + -5[5 + -1(3Y + -5)] = 0

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

Combine like terms: 5 + 5 = 10
2 + -5[10 + -3Y] = 0
2 + [10 * -5 + -3Y * -5] = 0
2 + [-50 + 15Y] = 0

Combine like terms: 2 + -50 = -48
-48 + 15Y = 0

Solving
-48 + 15Y = 0

Solving for variable 'Y'.

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

Add '48' to each side of the equation.
-48 + 48 + 15Y = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 15Y = 0 + 48
15Y = 0 + 48

Combine like terms: 0 + 48 = 48
15Y = 48

Divide each side by '15'.
Y = 3.2

Simplifying
Y = 3.2