9y-2(y-5)=6+5y

Solution for 9y-2(y-5)=6+5y equation:

Simplifying
9y + -2(y + -5) = 6 + 5y

Reorder the terms:
9y + -2(-5 + y) = 6 + 5y
9y + (-5 * -2 + y * -2) = 6 + 5y
9y + (10 + -2y) = 6 + 5y

Reorder the terms:
10 + 9y + -2y = 6 + 5y

Combine like terms: 9y + -2y = 7y
10 + 7y = 6 + 5y

Solving
10 + 7y = 6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
10 + 7y + -5y = 6 + 5y + -5y

Combine like terms: 7y + -5y = 2y
10 + 2y = 6 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + 2y = 6 + 0
10 + 2y = 6

Add '-10' to each side of the equation.
10 + -10 + 2y = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 2y = 6 + -10
2y = 6 + -10

Combine like terms: 6 + -10 = -4
2y = -4

Divide each side by '2'.
y = -2

Simplifying
y = -2