7y+4(y-8)=3(y+2)-5

Solution for 7y+4(y-8)=3(y+2)-5 equation:

Simplifying
7y + 4(y + -8) = 3(y + 2) + -5

Reorder the terms:
7y + 4(-8 + y) = 3(y + 2) + -5
7y + (-8 * 4 + y * 4) = 3(y + 2) + -5
7y + (-32 + 4y) = 3(y + 2) + -5

Reorder the terms:
-32 + 7y + 4y = 3(y + 2) + -5

Combine like terms: 7y + 4y = 11y
-32 + 11y = 3(y + 2) + -5

Reorder the terms:
-32 + 11y = 3(2 + y) + -5
-32 + 11y = (2 * 3 + y * 3) + -5
-32 + 11y = (6 + 3y) + -5

Reorder the terms:
-32 + 11y = 6 + -5 + 3y

Combine like terms: 6 + -5 = 1
-32 + 11y = 1 + 3y

Solving
-32 + 11y = 1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-32 + 11y + -3y = 1 + 3y + -3y

Combine like terms: 11y + -3y = 8y
-32 + 8y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-32 + 8y = 1 + 0
-32 + 8y = 1

Add '32' to each side of the equation.
-32 + 32 + 8y = 1 + 32

Combine like terms: -32 + 32 = 0
0 + 8y = 1 + 32
8y = 1 + 32

Combine like terms: 1 + 32 = 33
8y = 33

Divide each side by '8'.
y = 4.125

Simplifying
y = 4.125