7y+4(y-8)=5(y+1)-2

Solution for 7y+4(y-8)=5(y+1)-2 equation:

Simplifying
7y + 4(y + -8) = 5(y + 1) + -2

Reorder the terms:
7y + 4(-8 + y) = 5(y + 1) + -2
7y + (-8 * 4 + y * 4) = 5(y + 1) + -2
7y + (-32 + 4y) = 5(y + 1) + -2

Reorder the terms:
-32 + 7y + 4y = 5(y + 1) + -2

Combine like terms: 7y + 4y = 11y
-32 + 11y = 5(y + 1) + -2

Reorder the terms:
-32 + 11y = 5(1 + y) + -2
-32 + 11y = (1 * 5 + y * 5) + -2
-32 + 11y = (5 + 5y) + -2

Reorder the terms:
-32 + 11y = 5 + -2 + 5y

Combine like terms: 5 + -2 = 3
-32 + 11y = 3 + 5y

Solving
-32 + 11y = 3 + 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.
-32 + 11y + -5y = 3 + 5y + -5y

Combine like terms: 11y + -5y = 6y
-32 + 6y = 3 + 5y + -5y

Combine like terms: 5y + -5y = 0
-32 + 6y = 3 + 0
-32 + 6y = 3

Add '32' to each side of the equation.
-32 + 32 + 6y = 3 + 32

Combine like terms: -32 + 32 = 0
0 + 6y = 3 + 32
6y = 3 + 32

Combine like terms: 3 + 32 = 35
6y = 35

Divide each side by '6'.
y = 5.833333333

Simplifying
y = 5.833333333