7y+2(y-2)=3(y+1)-2

Solution for 7y+2(y-2)=3(y+1)-2 equation:

Simplifying
7y + 2(y + -2) = 3(y + 1) + -2

Reorder the terms:
7y + 2(-2 + y) = 3(y + 1) + -2
7y + (-2 * 2 + y * 2) = 3(y + 1) + -2
7y + (-4 + 2y) = 3(y + 1) + -2

Reorder the terms:
-4 + 7y + 2y = 3(y + 1) + -2

Combine like terms: 7y + 2y = 9y
-4 + 9y = 3(y + 1) + -2

Reorder the terms:
-4 + 9y = 3(1 + y) + -2
-4 + 9y = (1 * 3 + y * 3) + -2
-4 + 9y = (3 + 3y) + -2

Reorder the terms:
-4 + 9y = 3 + -2 + 3y

Combine like terms: 3 + -2 = 1
-4 + 9y = 1 + 3y

Solving
-4 + 9y = 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.
-4 + 9y + -3y = 1 + 3y + -3y

Combine like terms: 9y + -3y = 6y
-4 + 6y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + 6y = 1 + 0
-4 + 6y = 1

Add '4' to each side of the equation.
-4 + 4 + 6y = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 6y = 1 + 4
6y = 1 + 4

Combine like terms: 1 + 4 = 5
6y = 5

Divide each side by '6'.
y = 0.8333333333

Simplifying
y = 0.8333333333