6(y+1)=9y-30

Solution for 6(y+1)=9y-30 equation:

Simplifying
6(y + 1) = 9y + -30

Reorder the terms:
6(1 + y) = 9y + -30
(1 * 6 + y * 6) = 9y + -30
(6 + 6y) = 9y + -30

Reorder the terms:
6 + 6y = -30 + 9y

Solving
6 + 6y = -30 + 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 = -30 + 9y + -9y

Combine like terms: 6y + -9y = -3y
6 + -3y = -30 + 9y + -9y

Combine like terms: 9y + -9y = 0
6 + -3y = -30 + 0
6 + -3y = -30

Add '-6' to each side of the equation.
6 + -6 + -3y = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -3y = -30 + -6
-3y = -30 + -6

Combine like terms: -30 + -6 = -36
-3y = -36

Divide each side by '-3'.
y = 12

Simplifying
y = 12