6(y+1)-9=4(y-1)+24

Solution for 6(y+1)-9=4(y-1)+24 equation:

Simplifying
6(y + 1) + -9 = 4(y + -1) + 24

Reorder the terms:
6(1 + y) + -9 = 4(y + -1) + 24
(1 * 6 + y * 6) + -9 = 4(y + -1) + 24
(6 + 6y) + -9 = 4(y + -1) + 24

Reorder the terms:
6 + -9 + 6y = 4(y + -1) + 24

Combine like terms: 6 + -9 = -3
-3 + 6y = 4(y + -1) + 24

Reorder the terms:
-3 + 6y = 4(-1 + y) + 24
-3 + 6y = (-1 * 4 + y * 4) + 24
-3 + 6y = (-4 + 4y) + 24

Reorder the terms:
-3 + 6y = -4 + 24 + 4y

Combine like terms: -4 + 24 = 20
-3 + 6y = 20 + 4y

Solving
-3 + 6y = 20 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-3 + 6y + -4y = 20 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-3 + 2y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 0
-3 + 2y = 20 + 0
-3 + 2y = 20

Add '3' to each side of the equation.
-3 + 3 + 2y = 20 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = 20 + 3
2y = 20 + 3

Combine like terms: 20 + 3 = 23
2y = 23

Divide each side by '2'.
y = 11.5

Simplifying
y = 11.5