7y+4(y-5)=5(y+1)-2

Solution for 7y+4(y-5)=5(y+1)-2 equation:

Simplifying
7y + 4(y + -5) = 5(y + 1) + -2

Reorder the terms:
7y + 4(-5 + y) = 5(y + 1) + -2
7y + (-5 * 4 + y * 4) = 5(y + 1) + -2
7y + (-20 + 4y) = 5(y + 1) + -2

Reorder the terms:
-20 + 7y + 4y = 5(y + 1) + -2

Combine like terms: 7y + 4y = 11y
-20 + 11y = 5(y + 1) + -2

Reorder the terms:
-20 + 11y = 5(1 + y) + -2
-20 + 11y = (1 * 5 + y * 5) + -2
-20 + 11y = (5 + 5y) + -2

Reorder the terms:
-20 + 11y = 5 + -2 + 5y

Combine like terms: 5 + -2 = 3
-20 + 11y = 3 + 5y

Solving
-20 + 11y = 3 + 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.
-20 + 11y + -5y = 3 + 5y + -5y

Combine like terms: 11y + -5y = 6y
-20 + 6y = 3 + 5y + -5y

Combine like terms: 5y + -5y = 0
-20 + 6y = 3 + 0
-20 + 6y = 3

Add '20' to each side of the equation.
-20 + 20 + 6y = 3 + 20

Combine like terms: -20 + 20 = 0
0 + 6y = 3 + 20
6y = 3 + 20

Combine like terms: 3 + 20 = 23
6y = 23

Divide each side by '6'.
y = 3.833333333

Simplifying
y = 3.833333333