4(y-8)-3(y+5)=3(y+1)

Solution for 4(y-8)-3(y+5)=3(y+1) equation:

Simplifying
4(y + -8) + -3(y + 5) = 3(y + 1)

Reorder the terms:
4(-8 + y) + -3(y + 5) = 3(y + 1)
(-8 * 4 + y * 4) + -3(y + 5) = 3(y + 1)
(-32 + 4y) + -3(y + 5) = 3(y + 1)

Reorder the terms:
-32 + 4y + -3(5 + y) = 3(y + 1)
-32 + 4y + (5 * -3 + y * -3) = 3(y + 1)
-32 + 4y + (-15 + -3y) = 3(y + 1)

Reorder the terms:
-32 + -15 + 4y + -3y = 3(y + 1)

Combine like terms: -32 + -15 = -47
-47 + 4y + -3y = 3(y + 1)

Combine like terms: 4y + -3y = 1y
-47 + 1y = 3(y + 1)

Reorder the terms:
-47 + 1y = 3(1 + y)
-47 + 1y = (1 * 3 + y * 3)
-47 + 1y = (3 + 3y)

Solving
-47 + 1y = 3 + 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.
-47 + 1y + -3y = 3 + 3y + -3y

Combine like terms: 1y + -3y = -2y
-47 + -2y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
-47 + -2y = 3 + 0
-47 + -2y = 3

Add '47' to each side of the equation.
-47 + 47 + -2y = 3 + 47

Combine like terms: -47 + 47 = 0
0 + -2y = 3 + 47
-2y = 3 + 47

Combine like terms: 3 + 47 = 50
-2y = 50

Divide each side by '-2'.
y = -25

Simplifying
y = -25