6y+2(y-7)=5(y+1)-2

Solution for 6y+2(y-7)=5(y+1)-2 equation:

Simplifying
6y + 2(y + -7) = 5(y + 1) + -2

Reorder the terms:
6y + 2(-7 + y) = 5(y + 1) + -2
6y + (-7 * 2 + y * 2) = 5(y + 1) + -2
6y + (-14 + 2y) = 5(y + 1) + -2

Reorder the terms:
-14 + 6y + 2y = 5(y + 1) + -2

Combine like terms: 6y + 2y = 8y
-14 + 8y = 5(y + 1) + -2

Reorder the terms:
-14 + 8y = 5(1 + y) + -2
-14 + 8y = (1 * 5 + y * 5) + -2
-14 + 8y = (5 + 5y) + -2

Reorder the terms:
-14 + 8y = 5 + -2 + 5y

Combine like terms: 5 + -2 = 3
-14 + 8y = 3 + 5y

Solving
-14 + 8y = 3 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-14 + 8y + -5y = 3 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-14 + 3y = 3 + 5y + -5y

Combine like terms: 5y + -5y = 0
-14 + 3y = 3 + 0
-14 + 3y = 3

Add '14' to each side of the equation.
-14 + 14 + 3y = 3 + 14

Combine like terms: -14 + 14 = 0
0 + 3y = 3 + 14
3y = 3 + 14

Combine like terms: 3 + 14 = 17
3y = 17

Divide each side by '3'.
y = 5.666666667

Simplifying
y = 5.666666667