6(y-1)=9y+2-4(-3-1)

Solution for 6(y-1)=9y+2-4(-3-1) equation:

Simplifying
6(y + -1) = 9y + 2 + -4(-3 + -1)

Reorder the terms:
6(-1 + y) = 9y + 2 + -4(-3 + -1)
(-1 * 6 + y * 6) = 9y + 2 + -4(-3 + -1)
(-6 + 6y) = 9y + 2 + -4(-3 + -1)

Combine like terms: -3 + -1 = -4
-6 + 6y = 9y + 2 + -4(-4)

Multiply -4 * -4
-6 + 6y = 9y + 2 + 16

Reorder the terms:
-6 + 6y = 2 + 16 + 9y

Combine like terms: 2 + 16 = 18
-6 + 6y = 18 + 9y

Solving
-6 + 6y = 18 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-6 + 6y + -9y = 18 + 9y + -9y

Combine like terms: 6y + -9y = -3y
-6 + -3y = 18 + 9y + -9y

Combine like terms: 9y + -9y = 0
-6 + -3y = 18 + 0
-6 + -3y = 18

Add '6' to each side of the equation.
-6 + 6 + -3y = 18 + 6

Combine like terms: -6 + 6 = 0
0 + -3y = 18 + 6
-3y = 18 + 6

Combine like terms: 18 + 6 = 24
-3y = 24

Divide each side by '-3'.
y = -8

Simplifying
y = -8