-3(y+1)=7(y+6)-5

Solution for -3(y+1)=7(y+6)-5 equation:

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

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

Reorder the terms:
-3 + -3y = 7(6 + y) + -5
-3 + -3y = (6 * 7 + y * 7) + -5
-3 + -3y = (42 + 7y) + -5

Reorder the terms:
-3 + -3y = 42 + -5 + 7y

Combine like terms: 42 + -5 = 37
-3 + -3y = 37 + 7y

Solving
-3 + -3y = 37 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-3 + -3y + -7y = 37 + 7y + -7y

Combine like terms: -3y + -7y = -10y
-3 + -10y = 37 + 7y + -7y

Combine like terms: 7y + -7y = 0
-3 + -10y = 37 + 0
-3 + -10y = 37

Add '3' to each side of the equation.
-3 + 3 + -10y = 37 + 3

Combine like terms: -3 + 3 = 0
0 + -10y = 37 + 3
-10y = 37 + 3

Combine like terms: 37 + 3 = 40
-10y = 40

Divide each side by '-10'.
y = -4

Simplifying
y = -4