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

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

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

Reorder the terms:
7y + 3(-7 + y) = 5(y + 1) + -4
7y + (-7 * 3 + y * 3) = 5(y + 1) + -4
7y + (-21 + 3y) = 5(y + 1) + -4

Reorder the terms:
-21 + 7y + 3y = 5(y + 1) + -4

Combine like terms: 7y + 3y = 10y
-21 + 10y = 5(y + 1) + -4

Reorder the terms:
-21 + 10y = 5(1 + y) + -4
-21 + 10y = (1 * 5 + y * 5) + -4
-21 + 10y = (5 + 5y) + -4

Reorder the terms:
-21 + 10y = 5 + -4 + 5y

Combine like terms: 5 + -4 = 1
-21 + 10y = 1 + 5y

Solving
-21 + 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.
-21 + 10y + -5y = 1 + 5y + -5y

Combine like terms: 10y + -5y = 5y
-21 + 5y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
-21 + 5y = 1 + 0
-21 + 5y = 1

Add '21' to each side of the equation.
-21 + 21 + 5y = 1 + 21

Combine like terms: -21 + 21 = 0
0 + 5y = 1 + 21
5y = 1 + 21

Combine like terms: 1 + 21 = 22
5y = 22

Divide each side by '5'.
y = 4.4

Simplifying
y = 4.4