7y-3(y+1)=y

Solution for 7y-3(y+1)=y equation:

Simplifying
7y + -3(y + 1) = y

Reorder the terms:
7y + -3(1 + y) = y
7y + (1 * -3 + y * -3) = y
7y + (-3 + -3y) = y

Reorder the terms:
-3 + 7y + -3y = y

Combine like terms: 7y + -3y = 4y
-3 + 4y = y

Solving
-3 + 4y = 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.
-3 + 4y + -1y = y + -1y

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

Combine like terms: y + -1y = 0
-3 + 3y = 0

Add '3' to each side of the equation.
-3 + 3 + 3y = 0 + 3

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

Combine like terms: 0 + 3 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1