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

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

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

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

Combine like terms: 7 + 3 = 10
6 + -7[10 + -5y] = 0
6 + [10 * -7 + -5y * -7] = 0
6 + [-70 + 35y] = 0

Combine like terms: 6 + -70 = -64
-64 + 35y = 0

Solving
-64 + 35y = 0

Solving for variable 'y'.

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

Add '64' to each side of the equation.
-64 + 64 + 35y = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 35y = 0 + 64
35y = 0 + 64

Combine like terms: 0 + 64 = 64
35y = 64

Divide each side by '35'.
y = 1.828571429

Simplifying
y = 1.828571429