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

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

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

Reorder the terms:
4(-3 + y) + -1(y + 1) = 5
(-3 * 4 + y * 4) + -1(y + 1) = 5
(-12 + 4y) + -1(y + 1) = 5

Reorder the terms:
-12 + 4y + -1(1 + y) = 5
-12 + 4y + (1 * -1 + y * -1) = 5
-12 + 4y + (-1 + -1y) = 5

Reorder the terms:
-12 + -1 + 4y + -1y = 5

Combine like terms: -12 + -1 = -13
-13 + 4y + -1y = 5

Combine like terms: 4y + -1y = 3y
-13 + 3y = 5

Solving
-13 + 3y = 5

Solving for variable 'y'.

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

Add '13' to each side of the equation.
-13 + 13 + 3y = 5 + 13

Combine like terms: -13 + 13 = 0
0 + 3y = 5 + 13
3y = 5 + 13

Combine like terms: 5 + 13 = 18
3y = 18

Divide each side by '3'.
y = 6

Simplifying
y = 6