5y+4(y-8)=4(y+1)+2

Solution for 5y+4(y-8)=4(y+1)+2 equation:

Simplifying
5y + 4(y + -8) = 4(y + 1) + 2

Reorder the terms:
5y + 4(-8 + y) = 4(y + 1) + 2
5y + (-8 * 4 + y * 4) = 4(y + 1) + 2
5y + (-32 + 4y) = 4(y + 1) + 2

Reorder the terms:
-32 + 5y + 4y = 4(y + 1) + 2

Combine like terms: 5y + 4y = 9y
-32 + 9y = 4(y + 1) + 2

Reorder the terms:
-32 + 9y = 4(1 + y) + 2
-32 + 9y = (1 * 4 + y * 4) + 2
-32 + 9y = (4 + 4y) + 2

Reorder the terms:
-32 + 9y = 4 + 2 + 4y

Combine like terms: 4 + 2 = 6
-32 + 9y = 6 + 4y

Solving
-32 + 9y = 6 + 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.
-32 + 9y + -4y = 6 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-32 + 5y = 6 + 4y + -4y

Combine like terms: 4y + -4y = 0
-32 + 5y = 6 + 0
-32 + 5y = 6

Add '32' to each side of the equation.
-32 + 32 + 5y = 6 + 32

Combine like terms: -32 + 32 = 0
0 + 5y = 6 + 32
5y = 6 + 32

Combine like terms: 6 + 32 = 38
5y = 38

Divide each side by '5'.
y = 7.6

Simplifying
y = 7.6