7y+5-3y+1=2(y+1)

Solution for 7y+5-3y+1=2(y+1) equation:

Simplifying
7y + 5 + -3y + 1 = 2(y + 1)

Reorder the terms:
5 + 1 + 7y + -3y = 2(y + 1)

Combine like terms: 5 + 1 = 6
6 + 7y + -3y = 2(y + 1)

Combine like terms: 7y + -3y = 4y
6 + 4y = 2(y + 1)

Reorder the terms:
6 + 4y = 2(1 + y)
6 + 4y = (1 * 2 + y * 2)
6 + 4y = (2 + 2y)

Solving
6 + 4y = 2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
6 + 4y + -2y = 2 + 2y + -2y

Combine like terms: 4y + -2y = 2y
6 + 2y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + 2y = 2 + 0
6 + 2y = 2

Add '-6' to each side of the equation.
6 + -6 + 2y = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 2y = 2 + -6
2y = 2 + -6

Combine like terms: 2 + -6 = -4
2y = -4

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

Simplifying
y = -2