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

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

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

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

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

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

Combine like terms: 32 + -15 = 17
17 + 4y + -3y = (y + 1)

Combine like terms: 4y + -3y = 1y
17 + 1y = (y + 1)

Reorder the terms:
17 + 1y = (1 + y)

Remove parenthesis around (1 + y)
17 + 1y = 1 + y

Solving
17 + 1y = 1 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
17 + 1y + -1y = 1 + y + -1y

Combine like terms: 1y + -1y = 0
17 + 0 = 1 + y + -1y
17 = 1 + y + -1y

Combine like terms: y + -1y = 0
17 = 1 + 0
17 = 1

Add '-17' to each side of the equation.
17 + -17 = 1 + -17

Combine like terms: 17 + -17 = 0
0 = 1 + -17

Combine like terms: 1 + -17 = -16
0 = -16

Simplifying
0 = -16

Combine like terms: 0 + 16 = 16
16 = -16 + 16

Combine like terms: -16 + 16 = 0
16 = 0

The solution to this equation could not be determined.