7y-6=10y+9

Solution for 7y-6=10y+9 equation:

Simplifying
7y + -6 = 10y + 9

Reorder the terms:
-6 + 7y = 10y + 9

Reorder the terms:
-6 + 7y = 9 + 10y

Solving
-6 + 7y = 9 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-6 + 7y + -10y = 9 + 10y + -10y

Combine like terms: 7y + -10y = -3y
-6 + -3y = 9 + 10y + -10y

Combine like terms: 10y + -10y = 0
-6 + -3y = 9 + 0
-6 + -3y = 9

Add '6' to each side of the equation.
-6 + 6 + -3y = 9 + 6

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

Combine like terms: 9 + 6 = 15
-3y = 15

Divide each side by '-3'.
y = -5

Simplifying
y = -5