-3(y-1)+30=3(y+3)

Solution for -3(y-1)+30=3(y+3) equation:

Simplifying
-3(y + -1) + 30 = 3(y + 3)

Reorder the terms:
-3(-1 + y) + 30 = 3(y + 3)
(-1 * -3 + y * -3) + 30 = 3(y + 3)
(3 + -3y) + 30 = 3(y + 3)

Reorder the terms:
3 + 30 + -3y = 3(y + 3)

Combine like terms: 3 + 30 = 33
33 + -3y = 3(y + 3)

Reorder the terms:
33 + -3y = 3(3 + y)
33 + -3y = (3 * 3 + y * 3)
33 + -3y = (9 + 3y)

Solving
33 + -3y = 9 + 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.
33 + -3y + -3y = 9 + 3y + -3y

Combine like terms: -3y + -3y = -6y
33 + -6y = 9 + 3y + -3y

Combine like terms: 3y + -3y = 0
33 + -6y = 9 + 0
33 + -6y = 9

Add '-33' to each side of the equation.
33 + -33 + -6y = 9 + -33

Combine like terms: 33 + -33 = 0
0 + -6y = 9 + -33
-6y = 9 + -33

Combine like terms: 9 + -33 = -24
-6y = -24

Divide each side by '-6'.
y = 4

Simplifying
y = 4