6y+2(y-3)=5(y+1)-3

Solution for 6y+2(y-3)=5(y+1)-3 equation:

Simplifying
6y + 2(y + -3) = 5(y + 1) + -3

Reorder the terms:
6y + 2(-3 + y) = 5(y + 1) + -3
6y + (-3 * 2 + y * 2) = 5(y + 1) + -3
6y + (-6 + 2y) = 5(y + 1) + -3

Reorder the terms:
-6 + 6y + 2y = 5(y + 1) + -3

Combine like terms: 6y + 2y = 8y
-6 + 8y = 5(y + 1) + -3

Reorder the terms:
-6 + 8y = 5(1 + y) + -3
-6 + 8y = (1 * 5 + y * 5) + -3
-6 + 8y = (5 + 5y) + -3

Reorder the terms:
-6 + 8y = 5 + -3 + 5y

Combine like terms: 5 + -3 = 2
-6 + 8y = 2 + 5y

Solving
-6 + 8y = 2 + 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.
-6 + 8y + -5y = 2 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-6 + 3y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + 3y = 2 + 0
-6 + 3y = 2

Add '6' to each side of the equation.
-6 + 6 + 3y = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 3y = 2 + 6
3y = 2 + 6

Combine like terms: 2 + 6 = 8
3y = 8

Divide each side by '3'.
y = 2.666666667

Simplifying
y = 2.666666667