8y-6=3y+9

Solution for 8y-6=3y+9 equation:

Simplifying
8y + -6 = 3y + 9

Reorder the terms:
-6 + 8y = 3y + 9

Reorder the terms:
-6 + 8y = 9 + 3y

Solving
-6 + 8y = 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.
-6 + 8y + -3y = 9 + 3y + -3y

Combine like terms: 8y + -3y = 5y
-6 + 5y = 9 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + 5y = 9 + 0
-6 + 5y = 9

Add '6' to each side of the equation.
-6 + 6 + 5y = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = 9 + 6
5y = 9 + 6

Combine like terms: 9 + 6 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3