3-8[7-(4y-7)]=

Solution for 3-8[7-(4y-7)]= equation:

Simplifying
3 + -8[7 + -1(4y + -7)] = 0

Reorder the terms:
3 + -8[7 + -1(-7 + 4y)] = 0
3 + -8[7 + (-7 * -1 + 4y * -1)] = 0
3 + -8[7 + (7 + -4y)] = 0

Combine like terms: 7 + 7 = 14
3 + -8[14 + -4y] = 0
3 + [14 * -8 + -4y * -8] = 0
3 + [-112 + 32y] = 0

Combine like terms: 3 + -112 = -109
-109 + 32y = 0

Solving
-109 + 32y = 0

Solving for variable 'y'.

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

Add '109' to each side of the equation.
-109 + 109 + 32y = 0 + 109

Combine like terms: -109 + 109 = 0
0 + 32y = 0 + 109
32y = 0 + 109

Combine like terms: 0 + 109 = 109
32y = 109

Divide each side by '32'.
y = 3.40625

Simplifying
y = 3.40625