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

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

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

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

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

Combine like terms: 5y + 4y = 9y
-32 + 9y = 4(y + 2) + -3

Reorder the terms:
-32 + 9y = 4(2 + y) + -3
-32 + 9y = (2 * 4 + y * 4) + -3
-32 + 9y = (8 + 4y) + -3

Reorder the terms:
-32 + 9y = 8 + -3 + 4y

Combine like terms: 8 + -3 = 5
-32 + 9y = 5 + 4y

Solving
-32 + 9y = 5 + 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 = 5 + 4y + -4y

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

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

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

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

Combine like terms: 5 + 32 = 37
5y = 37

Divide each side by '5'.
y = 7.4

Simplifying
y = 7.4