-9y+42=-3(y+2)

Solution for -9y+42=-3(y+2) equation:

Simplifying
-9y + 42 = -3(y + 2)

Reorder the terms:
42 + -9y = -3(y + 2)

Reorder the terms:
42 + -9y = -3(2 + y)
42 + -9y = (2 * -3 + y * -3)
42 + -9y = (-6 + -3y)

Solving
42 + -9y = -6 + -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 + -9y + 3y = -6 + -3y + 3y

Combine like terms: -9y + 3y = -6y
42 + -6y = -6 + -3y + 3y

Combine like terms: -3y + 3y = 0
42 + -6y = -6 + 0
42 + -6y = -6

Add '-42' to each side of the equation.
42 + -42 + -6y = -6 + -42

Combine like terms: 42 + -42 = 0
0 + -6y = -6 + -42
-6y = -6 + -42

Combine like terms: -6 + -42 = -48
-6y = -48

Divide each side by '-6'.
y = 8

Simplifying
y = 8