7y+2(y-3)=6(y+1)-2

Solution for 7y+2(y-3)=6(y+1)-2 equation:

Simplifying
7y + 2(y + -3) = 6(y + 1) + -2

Reorder the terms:
7y + 2(-3 + y) = 6(y + 1) + -2
7y + (-3 * 2 + y * 2) = 6(y + 1) + -2
7y + (-6 + 2y) = 6(y + 1) + -2

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

Combine like terms: 7y + 2y = 9y
-6 + 9y = 6(y + 1) + -2

Reorder the terms:
-6 + 9y = 6(1 + y) + -2
-6 + 9y = (1 * 6 + y * 6) + -2
-6 + 9y = (6 + 6y) + -2

Reorder the terms:
-6 + 9y = 6 + -2 + 6y

Combine like terms: 6 + -2 = 4
-6 + 9y = 4 + 6y

Solving
-6 + 9y = 4 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-6 + 9y + -6y = 4 + 6y + -6y

Combine like terms: 9y + -6y = 3y
-6 + 3y = 4 + 6y + -6y

Combine like terms: 6y + -6y = 0
-6 + 3y = 4 + 0
-6 + 3y = 4

Add '6' to each side of the equation.
-6 + 6 + 3y = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 3y = 4 + 6
3y = 4 + 6

Combine like terms: 4 + 6 = 10
3y = 10

Divide each side by '3'.
y = 3.333333333

Simplifying
y = 3.333333333