-2y-42=3(y+1)

Solution for -2y-42=3(y+1) equation:

Simplifying
-2y + -42 = 3(y + 1)

Reorder the terms:
-42 + -2y = 3(y + 1)

Reorder the terms:
-42 + -2y = 3(1 + y)
-42 + -2y = (1 * 3 + y * 3)
-42 + -2y = (3 + 3y)

Solving
-42 + -2y = 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.
-42 + -2y + -3y = 3 + 3y + -3y

Combine like terms: -2y + -3y = -5y
-42 + -5y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
-42 + -5y = 3 + 0
-42 + -5y = 3

Add '42' to each side of the equation.
-42 + 42 + -5y = 3 + 42

Combine like terms: -42 + 42 = 0
0 + -5y = 3 + 42
-5y = 3 + 42

Combine like terms: 3 + 42 = 45
-5y = 45

Divide each side by '-5'.
y = -9

Simplifying
y = -9