7y+3(y-9)=5(y+1)-4

Solution for 7y+3(y-9)=5(y+1)-4 equation:

Simplifying
7y + 3(y + -9) = 5(y + 1) + -4

Reorder the terms:
7y + 3(-9 + y) = 5(y + 1) + -4
7y + (-9 * 3 + y * 3) = 5(y + 1) + -4
7y + (-27 + 3y) = 5(y + 1) + -4

Reorder the terms:
-27 + 7y + 3y = 5(y + 1) + -4

Combine like terms: 7y + 3y = 10y
-27 + 10y = 5(y + 1) + -4

Reorder the terms:
-27 + 10y = 5(1 + y) + -4
-27 + 10y = (1 * 5 + y * 5) + -4
-27 + 10y = (5 + 5y) + -4

Reorder the terms:
-27 + 10y = 5 + -4 + 5y

Combine like terms: 5 + -4 = 1
-27 + 10y = 1 + 5y

Solving
-27 + 10y = 1 + 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.
-27 + 10y + -5y = 1 + 5y + -5y

Combine like terms: 10y + -5y = 5y
-27 + 5y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 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