5y+3(y-9)=3(y+1)-2

Solution for 5y+3(y-9)=3(y+1)-2 equation:

Simplifying
5y + 3(y + -9) = 3(y + 1) + -2

Reorder the terms:
5y + 3(-9 + y) = 3(y + 1) + -2
5y + (-9 * 3 + y * 3) = 3(y + 1) + -2
5y + (-27 + 3y) = 3(y + 1) + -2

Reorder the terms:
-27 + 5y + 3y = 3(y + 1) + -2

Combine like terms: 5y + 3y = 8y
-27 + 8y = 3(y + 1) + -2

Reorder the terms:
-27 + 8y = 3(1 + y) + -2
-27 + 8y = (1 * 3 + y * 3) + -2
-27 + 8y = (3 + 3y) + -2

Reorder the terms:
-27 + 8y = 3 + -2 + 3y

Combine like terms: 3 + -2 = 1
-27 + 8y = 1 + 3y

Solving
-27 + 8y = 1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-27 + 8y + -3y = 1 + 3y + -3y

Combine like terms: 8y + -3y = 5y
-27 + 5y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-27 + 5y = 1 + 0
-27 + 5y = 1

Add '27' to each side of the equation.
-27 + 27 + 5y = 1 + 27

Combine like terms: -27 + 27 = 0
0 + 5y = 1 + 27
5y = 1 + 27

Combine like terms: 1 + 27 = 28
5y = 28

Divide each side by '5'.
y = 5.6

Simplifying
y = 5.6