8y+4(6+y)=3(y-7)+10y

Solution for 8y+4(6+y)=3(y-7)+10y equation:

Simplifying
8y + 4(6 + y) = 3(y + -7) + 10y
8y + (6 * 4 + y * 4) = 3(y + -7) + 10y
8y + (24 + 4y) = 3(y + -7) + 10y

Reorder the terms:
24 + 8y + 4y = 3(y + -7) + 10y

Combine like terms: 8y + 4y = 12y
24 + 12y = 3(y + -7) + 10y

Reorder the terms:
24 + 12y = 3(-7 + y) + 10y
24 + 12y = (-7 * 3 + y * 3) + 10y
24 + 12y = (-21 + 3y) + 10y

Combine like terms: 3y + 10y = 13y
24 + 12y = -21 + 13y

Solving
24 + 12y = -21 + 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.
24 + 12y + -13y = -21 + 13y + -13y

Combine like terms: 12y + -13y = -1y
24 + -1y = -21 + 13y + -13y

Combine like terms: 13y + -13y = 0
24 + -1y = -21 + 0
24 + -1y = -21

Add '-24' to each side of the equation.
24 + -24 + -1y = -21 + -24

Combine like terms: 24 + -24 = 0
0 + -1y = -21 + -24
-1y = -21 + -24

Combine like terms: -21 + -24 = -45
-1y = -45

Divide each side by '-1'.
y = 45

Simplifying
y = 45