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

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

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

Reorder the terms:
6y + 3(-5 + y) = 5(y + 1) + -3
6y + (-5 * 3 + y * 3) = 5(y + 1) + -3
6y + (-15 + 3y) = 5(y + 1) + -3

Reorder the terms:
-15 + 6y + 3y = 5(y + 1) + -3

Combine like terms: 6y + 3y = 9y
-15 + 9y = 5(y + 1) + -3

Reorder the terms:
-15 + 9y = 5(1 + y) + -3
-15 + 9y = (1 * 5 + y * 5) + -3
-15 + 9y = (5 + 5y) + -3

Reorder the terms:
-15 + 9y = 5 + -3 + 5y

Combine like terms: 5 + -3 = 2
-15 + 9y = 2 + 5y

Solving
-15 + 9y = 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.
-15 + 9y + -5y = 2 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-15 + 4y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-15 + 4y = 2 + 0
-15 + 4y = 2

Add '15' to each side of the equation.
-15 + 15 + 4y = 2 + 15

Combine like terms: -15 + 15 = 0
0 + 4y = 2 + 15
4y = 2 + 15

Combine like terms: 2 + 15 = 17
4y = 17

Divide each side by '4'.
y = 4.25

Simplifying
y = 4.25