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

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

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

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

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

Solving
-1 + -7y = 3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-1 + -7y + -3y = 3 + 3y + -3y

Combine like terms: -7y + -3y = -10y
-1 + -10y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
-1 + -10y = 3 + 0
-1 + -10y = 3

Add '1' to each side of the equation.
-1 + 1 + -10y = 3 + 1

Combine like terms: -1 + 1 = 0
0 + -10y = 3 + 1
-10y = 3 + 1

Combine like terms: 3 + 1 = 4
-10y = 4

Divide each side by '-10'.
y = -0.4

Simplifying
y = -0.4