3-7[6-(5y-7)]=

Solution for 3-7[6-(5y-7)]= equation:

Simplifying
3 + -7[6 + -1(5y + -7)] = 0

Reorder the terms:
3 + -7[6 + -1(-7 + 5y)] = 0
3 + -7[6 + (-7 * -1 + 5y * -1)] = 0
3 + -7[6 + (7 + -5y)] = 0

Combine like terms: 6 + 7 = 13
3 + -7[13 + -5y] = 0
3 + [13 * -7 + -5y * -7] = 0
3 + [-91 + 35y] = 0

Combine like terms: 3 + -91 = -88
-88 + 35y = 0

Solving
-88 + 35y = 0

Solving for variable 'y'.

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

Add '88' to each side of the equation.
-88 + 88 + 35y = 0 + 88

Combine like terms: -88 + 88 = 0
0 + 35y = 0 + 88
35y = 0 + 88

Combine like terms: 0 + 88 = 88
35y = 88

Divide each side by '35'.
y = 2.514285714

Simplifying
y = 2.514285714