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 = 17
17 + 4y + -3y = 3(y + 1)

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

Reorder the terms:
17 + 1y = 3(1 + y)
17 + 1y = (1 * 3 + y * 3)
17 + 1y = (3 + 3y)

Solving
17 + 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.
17 + 1y + -3y = 3 + 3y + -3y

Combine like terms: 1y + -3y = -2y
17 + -2y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
17 + -2y = 3 + 0
17 + -2y = 3

Add '-17' to each side of the equation.
17 + -17 + -2y = 3 + -17

Combine like terms: 17 + -17 = 0
0 + -2y = 3 + -17
-2y = 3 + -17

Combine like terms: 3 + -17 = -14
-2y = -14

Divide each side by '-2'.
y = 7

Simplifying
y = 7