6(2y+3)-3(y-5)=0

Solution for 6(2y+3)-3(y-5)=0 equation:

Simplifying
6(2y + 3) + -3(y + -5) = 0

Reorder the terms:
6(3 + 2y) + -3(y + -5) = 0
(3 * 6 + 2y * 6) + -3(y + -5) = 0
(18 + 12y) + -3(y + -5) = 0

Reorder the terms:
18 + 12y + -3(-5 + y) = 0
18 + 12y + (-5 * -3 + y * -3) = 0
18 + 12y + (15 + -3y) = 0

Reorder the terms:
18 + 15 + 12y + -3y = 0

Combine like terms: 18 + 15 = 33
33 + 12y + -3y = 0

Combine like terms: 12y + -3y = 9y
33 + 9y = 0

Solving
33 + 9y = 0

Solving for variable 'y'.

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

Add '-33' to each side of the equation.
33 + -33 + 9y = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 9y = 0 + -33
9y = 0 + -33

Combine like terms: 0 + -33 = -33
9y = -33

Divide each side by '9'.
y = -3.666666667

Simplifying
y = -3.666666667