3y-6=15y+42

Solution for 3y-6=15y+42 equation:

Simplifying
3y + -6 = 15y + 42

Reorder the terms:
-6 + 3y = 15y + 42

Reorder the terms:
-6 + 3y = 42 + 15y

Solving
-6 + 3y = 42 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-6 + 3y + -15y = 42 + 15y + -15y

Combine like terms: 3y + -15y = -12y
-6 + -12y = 42 + 15y + -15y

Combine like terms: 15y + -15y = 0
-6 + -12y = 42 + 0
-6 + -12y = 42

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

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

Combine like terms: 42 + 6 = 48
-12y = 48

Divide each side by '-12'.
y = -4

Simplifying
y = -4