7y+3(y-8)=5(y+2)-2

Solution for 7y+3(y-8)=5(y+2)-2 equation:

Simplifying
7y + 3(y + -8) = 5(y + 2) + -2

Reorder the terms:
7y + 3(-8 + y) = 5(y + 2) + -2
7y + (-8 * 3 + y * 3) = 5(y + 2) + -2
7y + (-24 + 3y) = 5(y + 2) + -2

Reorder the terms:
-24 + 7y + 3y = 5(y + 2) + -2

Combine like terms: 7y + 3y = 10y
-24 + 10y = 5(y + 2) + -2

Reorder the terms:
-24 + 10y = 5(2 + y) + -2
-24 + 10y = (2 * 5 + y * 5) + -2
-24 + 10y = (10 + 5y) + -2

Reorder the terms:
-24 + 10y = 10 + -2 + 5y

Combine like terms: 10 + -2 = 8
-24 + 10y = 8 + 5y

Solving
-24 + 10y = 8 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-24 + 10y + -5y = 8 + 5y + -5y

Combine like terms: 10y + -5y = 5y
-24 + 5y = 8 + 5y + -5y

Combine like terms: 5y + -5y = 0
-24 + 5y = 8 + 0
-24 + 5y = 8

Add '24' to each side of the equation.
-24 + 24 + 5y = 8 + 24

Combine like terms: -24 + 24 = 0
0 + 5y = 8 + 24
5y = 8 + 24

Combine like terms: 8 + 24 = 32
5y = 32

Divide each side by '5'.
y = 6.4

Simplifying
y = 6.4