-3y+42=3(y-4)

Solution for -3y+42=3(y-4) equation:

Simplifying
-3y + 42 = 3(y + -4)

Reorder the terms:
42 + -3y = 3(y + -4)

Reorder the terms:
42 + -3y = 3(-4 + y)
42 + -3y = (-4 * 3 + y * 3)
42 + -3y = (-12 + 3y)

Solving
42 + -3y = -12 + 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 + -3y + -3y = -12 + 3y + -3y

Combine like terms: -3y + -3y = -6y
42 + -6y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
42 + -6y = -12 + 0
42 + -6y = -12

Add '-42' to each side of the equation.
42 + -42 + -6y = -12 + -42

Combine like terms: 42 + -42 = 0
0 + -6y = -12 + -42
-6y = -12 + -42

Combine like terms: -12 + -42 = -54
-6y = -54

Divide each side by '-6'.
y = 9

Simplifying
y = 9