9(y+6)-3(y-5)=2(y-3)

Solution for 9(y+6)-3(y-5)=2(y-3) equation:

Simplifying
9(y + 6) + -3(y + -5) = 2(y + -3)

Reorder the terms:
9(6 + y) + -3(y + -5) = 2(y + -3)
(6 * 9 + y * 9) + -3(y + -5) = 2(y + -3)
(54 + 9y) + -3(y + -5) = 2(y + -3)

Reorder the terms:
54 + 9y + -3(-5 + y) = 2(y + -3)
54 + 9y + (-5 * -3 + y * -3) = 2(y + -3)
54 + 9y + (15 + -3y) = 2(y + -3)

Reorder the terms:
54 + 15 + 9y + -3y = 2(y + -3)

Combine like terms: 54 + 15 = 69
69 + 9y + -3y = 2(y + -3)

Combine like terms: 9y + -3y = 6y
69 + 6y = 2(y + -3)

Reorder the terms:
69 + 6y = 2(-3 + y)
69 + 6y = (-3 * 2 + y * 2)
69 + 6y = (-6 + 2y)

Solving
69 + 6y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
69 + 6y + -2y = -6 + 2y + -2y

Combine like terms: 6y + -2y = 4y
69 + 4y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
69 + 4y = -6 + 0
69 + 4y = -6

Add '-69' to each side of the equation.
69 + -69 + 4y = -6 + -69

Combine like terms: 69 + -69 = 0
0 + 4y = -6 + -69
4y = -6 + -69

Combine like terms: -6 + -69 = -75
4y = -75

Divide each side by '4'.
y = -18.75

Simplifying
y = -18.75