3(2y+5)-6=2(y-4)+y-1

Solution for 3(2y+5)-6=2(y-4)+y-1 equation:

Simplifying
3(2y + 5) + -6 = 2(y + -4) + y + -1

Reorder the terms:
3(5 + 2y) + -6 = 2(y + -4) + y + -1
(5 * 3 + 2y * 3) + -6 = 2(y + -4) + y + -1
(15 + 6y) + -6 = 2(y + -4) + y + -1

Reorder the terms:
15 + -6 + 6y = 2(y + -4) + y + -1

Combine like terms: 15 + -6 = 9
9 + 6y = 2(y + -4) + y + -1

Reorder the terms:
9 + 6y = 2(-4 + y) + y + -1
9 + 6y = (-4 * 2 + y * 2) + y + -1
9 + 6y = (-8 + 2y) + y + -1

Reorder the terms:
9 + 6y = -8 + -1 + 2y + y

Combine like terms: -8 + -1 = -9
9 + 6y = -9 + 2y + y

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

Solving
9 + 6y = -9 + 3y

Solving for variable 'y'.

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

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

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

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

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

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

Combine like terms: -9 + -9 = -18
3y = -18

Divide each side by '3'.
y = -6

Simplifying
y = -6