3-5(-7y+8)=(y-6)-8

Solution for 3-5(-7y+8)=(y-6)-8 equation:

Simplifying
3 + -5(-7y + 8) = (y + -6) + -8

Reorder the terms:
3 + -5(8 + -7y) = (y + -6) + -8
3 + (8 * -5 + -7y * -5) = (y + -6) + -8
3 + (-40 + 35y) = (y + -6) + -8

Combine like terms: 3 + -40 = -37
-37 + 35y = (y + -6) + -8

Reorder the terms:
-37 + 35y = (-6 + y) + -8

Remove parenthesis around (-6 + y)
-37 + 35y = -6 + y + -8

Reorder the terms:
-37 + 35y = -6 + -8 + y

Combine like terms: -6 + -8 = -14
-37 + 35y = -14 + y

Solving
-37 + 35y = -14 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-37 + 35y + -1y = -14 + y + -1y

Combine like terms: 35y + -1y = 34y
-37 + 34y = -14 + y + -1y

Combine like terms: y + -1y = 0
-37 + 34y = -14 + 0
-37 + 34y = -14

Add '37' to each side of the equation.
-37 + 37 + 34y = -14 + 37

Combine like terms: -37 + 37 = 0
0 + 34y = -14 + 37
34y = -14 + 37

Combine like terms: -14 + 37 = 23
34y = 23

Divide each side by '34'.
y = 0.6764705882

Simplifying
y = 0.6764705882