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