8y+4(9+y)=3(y-5)+10y

Solution for 8y+4(9+y)=3(y-5)+10y equation:

Simplifying
8y + 4(9 + y) = 3(y + -5) + 10y
8y + (9 * 4 + y * 4) = 3(y + -5) + 10y
8y + (36 + 4y) = 3(y + -5) + 10y

Reorder the terms:
36 + 8y + 4y = 3(y + -5) + 10y

Combine like terms: 8y + 4y = 12y
36 + 12y = 3(y + -5) + 10y

Reorder the terms:
36 + 12y = 3(-5 + y) + 10y
36 + 12y = (-5 * 3 + y * 3) + 10y
36 + 12y = (-15 + 3y) + 10y

Combine like terms: 3y + 10y = 13y
36 + 12y = -15 + 13y

Solving
36 + 12y = -15 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
36 + 12y + -13y = -15 + 13y + -13y

Combine like terms: 12y + -13y = -1y
36 + -1y = -15 + 13y + -13y

Combine like terms: 13y + -13y = 0
36 + -1y = -15 + 0
36 + -1y = -15

Add '-36' to each side of the equation.
36 + -36 + -1y = -15 + -36

Combine like terms: 36 + -36 = 0
0 + -1y = -15 + -36
-1y = -15 + -36

Combine like terms: -15 + -36 = -51
-1y = -51

Divide each side by '-1'.
y = 51

Simplifying
y = 51