6(y+1)=6(y)+1(y)

Solution for 6(y+1)=6(y)+1(y) equation:

Simplifying
6(y + 1) = 6(y) + 1(y)

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

Combine like terms: 6y + 1y = 7y
6 + 6y = 7y

Solving
6 + 6y = 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
6 + 6y + -7y = 7y + -7y

Combine like terms: 6y + -7y = -1y
6 + -1y = 7y + -7y

Combine like terms: 7y + -7y = 0
6 + -1y = 0

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6