6+y=13-3(y+1)

Solution for 6+y=13-3(y+1) equation:

Simplifying
6 + y = 13 + -3(y + 1)

Reorder the terms:
6 + y = 13 + -3(1 + y)
6 + y = 13 + (1 * -3 + y * -3)
6 + y = 13 + (-3 + -3y)

Combine like terms: 13 + -3 = 10
6 + y = 10 + -3y

Solving
6 + y = 10 + -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.
6 + y + 3y = 10 + -3y + 3y

Combine like terms: y + 3y = 4y
6 + 4y = 10 + -3y + 3y

Combine like terms: -3y + 3y = 0
6 + 4y = 10 + 0
6 + 4y = 10

Add '-6' to each side of the equation.
6 + -6 + 4y = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 4y = 10 + -6
4y = 10 + -6

Combine like terms: 10 + -6 = 4
4y = 4

Divide each side by '4'.
y = 1

Simplifying
y = 1