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

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

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

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

Combine like terms: 5y + 2y = 7y
30 + 7y = 4(y + 2) + -5

Reorder the terms:
30 + 7y = 4(2 + y) + -5
30 + 7y = (2 * 4 + y * 4) + -5
30 + 7y = (8 + 4y) + -5

Reorder the terms:
30 + 7y = 8 + -5 + 4y

Combine like terms: 8 + -5 = 3
30 + 7y = 3 + 4y

Solving
30 + 7y = 3 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
30 + 7y + -4y = 3 + 4y + -4y

Combine like terms: 7y + -4y = 3y
30 + 3y = 3 + 4y + -4y

Combine like terms: 4y + -4y = 0
30 + 3y = 3 + 0
30 + 3y = 3

Add '-30' to each side of the equation.
30 + -30 + 3y = 3 + -30

Combine like terms: 30 + -30 = 0
0 + 3y = 3 + -30
3y = 3 + -30

Combine like terms: 3 + -30 = -27
3y = -27

Divide each side by '3'.
y = -9

Simplifying
y = -9