3(1+y)=3(4y-1)-30

Solution for 3(1+y)=3(4y-1)-30 equation:

Simplifying
3(1 + y) = 3(4y + -1) + -30
(1 * 3 + y * 3) = 3(4y + -1) + -30
(3 + 3y) = 3(4y + -1) + -30

Reorder the terms:
3 + 3y = 3(-1 + 4y) + -30
3 + 3y = (-1 * 3 + 4y * 3) + -30
3 + 3y = (-3 + 12y) + -30

Reorder the terms:
3 + 3y = -3 + -30 + 12y

Combine like terms: -3 + -30 = -33
3 + 3y = -33 + 12y

Solving
3 + 3y = -33 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
3 + 3y + -12y = -33 + 12y + -12y

Combine like terms: 3y + -12y = -9y
3 + -9y = -33 + 12y + -12y

Combine like terms: 12y + -12y = 0
3 + -9y = -33 + 0
3 + -9y = -33

Add '-3' to each side of the equation.
3 + -3 + -9y = -33 + -3

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

Combine like terms: -33 + -3 = -36
-9y = -36

Divide each side by '-9'.
y = 4

Simplifying
y = 4