3+2[3-(7y-4)]=2y-[3-(3y+5)]

Solution for 3+2[3-(7y-4)]=2y-[3-(3y+5)] equation:

Simplifying
3 + 2[3 + -1(7y + -4)] = 2y + -1[3 + -1(3y + 5)]

Reorder the terms:
3 + 2[3 + -1(-4 + 7y)] = 2y + -1[3 + -1(3y + 5)]
3 + 2[3 + (-4 * -1 + 7y * -1)] = 2y + -1[3 + -1(3y + 5)]
3 + 2[3 + (4 + -7y)] = 2y + -1[3 + -1(3y + 5)]

Combine like terms: 3 + 4 = 7
3 + 2[7 + -7y] = 2y + -1[3 + -1(3y + 5)]
3 + [7 * 2 + -7y * 2] = 2y + -1[3 + -1(3y + 5)]
3 + [14 + -14y] = 2y + -1[3 + -1(3y + 5)]

Combine like terms: 3 + 14 = 17
17 + -14y = 2y + -1[3 + -1(3y + 5)]

Reorder the terms:
17 + -14y = 2y + -1[3 + -1(5 + 3y)]
17 + -14y = 2y + -1[3 + (5 * -1 + 3y * -1)]
17 + -14y = 2y + -1[3 + (-5 + -3y)]

Combine like terms: 3 + -5 = -2
17 + -14y = 2y + -1[-2 + -3y]
17 + -14y = 2y + [-2 * -1 + -3y * -1]
17 + -14y = 2y + [2 + 3y]

Reorder the terms:
17 + -14y = 2 + 2y + 3y

Combine like terms: 2y + 3y = 5y
17 + -14y = 2 + 5y

Solving
17 + -14y = 2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
17 + -14y + -5y = 2 + 5y + -5y

Combine like terms: -14y + -5y = -19y
17 + -19y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
17 + -19y = 2 + 0
17 + -19y = 2

Add '-17' to each side of the equation.
17 + -17 + -19y = 2 + -17

Combine like terms: 17 + -17 = 0
0 + -19y = 2 + -17
-19y = 2 + -17

Combine like terms: 2 + -17 = -15
-19y = -15

Divide each side by '-19'.
y = 0.7894736842

Simplifying
y = 0.7894736842