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

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

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

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

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

Combine like terms: -4y + 3y = -1y
1 + -1y = -6 + 9(-3 + -1y)
1 + -1y = -6 + (-3 * 9 + -1y * 9)
1 + -1y = -6 + (-27 + -9y)

Combine like terms: -6 + -27 = -33
1 + -1y = -33 + -9y

Solving
1 + -1y = -33 + -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.
1 + -1y + 9y = -33 + -9y + 9y

Combine like terms: -1y + 9y = 8y
1 + 8y = -33 + -9y + 9y

Combine like terms: -9y + 9y = 0
1 + 8y = -33 + 0
1 + 8y = -33

Add '-1' to each side of the equation.
1 + -1 + 8y = -33 + -1

Combine like terms: 1 + -1 = 0
0 + 8y = -33 + -1
8y = -33 + -1

Combine like terms: -33 + -1 = -34
8y = -34

Divide each side by '8'.
y = -4.25

Simplifying
y = -4.25