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

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

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

Reorder the terms:
5y + 2(-7 + y) = (y + 1) + -2
5y + (-7 * 2 + y * 2) = (y + 1) + -2
5y + (-14 + 2y) = (y + 1) + -2

Reorder the terms:
-14 + 5y + 2y = (y + 1) + -2

Combine like terms: 5y + 2y = 7y
-14 + 7y = (y + 1) + -2

Reorder the terms:
-14 + 7y = (1 + y) + -2

Remove parenthesis around (1 + y)
-14 + 7y = 1 + y + -2

Reorder the terms:
-14 + 7y = 1 + -2 + y

Combine like terms: 1 + -2 = -1
-14 + 7y = -1 + y

Solving
-14 + 7y = -1 + 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.
-14 + 7y + -1y = -1 + y + -1y

Combine like terms: 7y + -1y = 6y
-14 + 6y = -1 + y + -1y

Combine like terms: y + -1y = 0
-14 + 6y = -1 + 0
-14 + 6y = -1

Add '14' to each side of the equation.
-14 + 14 + 6y = -1 + 14

Combine like terms: -14 + 14 = 0
0 + 6y = -1 + 14
6y = -1 + 14

Combine like terms: -1 + 14 = 13
6y = 13

Divide each side by '6'.
y = 2.166666667

Simplifying
y = 2.166666667