-3-3(y-3)=5(y+4)

Solution for -3-3(y-3)=5(y+4) equation:

Simplifying
-3 + -3(y + -3) = 5(y + 4)

Reorder the terms:
-3 + -3(-3 + y) = 5(y + 4)
-3 + (-3 * -3 + y * -3) = 5(y + 4)
-3 + (9 + -3y) = 5(y + 4)

Combine like terms: -3 + 9 = 6
6 + -3y = 5(y + 4)

Reorder the terms:
6 + -3y = 5(4 + y)
6 + -3y = (4 * 5 + y * 5)
6 + -3y = (20 + 5y)

Solving
6 + -3y = 20 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
6 + -3y + -5y = 20 + 5y + -5y

Combine like terms: -3y + -5y = -8y
6 + -8y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -8y = 20 + 0
6 + -8y = 20

Add '-6' to each side of the equation.
6 + -6 + -8y = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = 20 + -6
-8y = 20 + -6

Combine like terms: 20 + -6 = 14
-8y = 14

Divide each side by '-8'.
y = -1.75

Simplifying
y = -1.75