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

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

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

Reorder the terms:
7y + 2(-5 + y) = 5(y + 2) + -4
7y + (-5 * 2 + y * 2) = 5(y + 2) + -4
7y + (-10 + 2y) = 5(y + 2) + -4

Reorder the terms:
-10 + 7y + 2y = 5(y + 2) + -4

Combine like terms: 7y + 2y = 9y
-10 + 9y = 5(y + 2) + -4

Reorder the terms:
-10 + 9y = 5(2 + y) + -4
-10 + 9y = (2 * 5 + y * 5) + -4
-10 + 9y = (10 + 5y) + -4

Reorder the terms:
-10 + 9y = 10 + -4 + 5y

Combine like terms: 10 + -4 = 6
-10 + 9y = 6 + 5y

Solving
-10 + 9y = 6 + 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.
-10 + 9y + -5y = 6 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-10 + 4y = 6 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + 4y = 6 + 0
-10 + 4y = 6

Add '10' to each side of the equation.
-10 + 10 + 4y = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 4y = 6 + 10
4y = 6 + 10

Combine like terms: 6 + 10 = 16
4y = 16

Divide each side by '4'.
y = 4

Simplifying
y = 4