6(y+5)=3(2(2y-3)+1)+5

Solution for 6(y+5)=3(2(2y-3)+1)+5 equation:

Simplifying
6(y + 5) = 3(2(2y + -3) + 1) + 5

Reorder the terms:
6(5 + y) = 3(2(2y + -3) + 1) + 5
(5 * 6 + y * 6) = 3(2(2y + -3) + 1) + 5
(30 + 6y) = 3(2(2y + -3) + 1) + 5

Reorder the terms:
30 + 6y = 3(2(-3 + 2y) + 1) + 5
30 + 6y = 3((-3 * 2 + 2y * 2) + 1) + 5
30 + 6y = 3((-6 + 4y) + 1) + 5

Reorder the terms:
30 + 6y = 3(-6 + 1 + 4y) + 5

Combine like terms: -6 + 1 = -5
30 + 6y = 3(-5 + 4y) + 5
30 + 6y = (-5 * 3 + 4y * 3) + 5
30 + 6y = (-15 + 12y) + 5

Reorder the terms:
30 + 6y = -15 + 5 + 12y

Combine like terms: -15 + 5 = -10
30 + 6y = -10 + 12y

Solving
30 + 6y = -10 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
30 + 6y + -12y = -10 + 12y + -12y

Combine like terms: 6y + -12y = -6y
30 + -6y = -10 + 12y + -12y

Combine like terms: 12y + -12y = 0
30 + -6y = -10 + 0
30 + -6y = -10

Add '-30' to each side of the equation.
30 + -30 + -6y = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -6y = -10 + -30
-6y = -10 + -30

Combine like terms: -10 + -30 = -40
-6y = -40

Divide each side by '-6'.
y = 6.666666667

Simplifying
y = 6.666666667