7y+2(y-3)=5(y+1)-2

Solution for 7y+2(y-3)=5(y+1)-2 equation:

Simplifying
7y + 2(y + -3) = 5(y + 1) + -2

Reorder the terms:
7y + 2(-3 + y) = 5(y + 1) + -2
7y + (-3 * 2 + y * 2) = 5(y + 1) + -2
7y + (-6 + 2y) = 5(y + 1) + -2

Reorder the terms:
-6 + 7y + 2y = 5(y + 1) + -2

Combine like terms: 7y + 2y = 9y
-6 + 9y = 5(y + 1) + -2

Reorder the terms:
-6 + 9y = 5(1 + y) + -2
-6 + 9y = (1 * 5 + y * 5) + -2
-6 + 9y = (5 + 5y) + -2

Reorder the terms:
-6 + 9y = 5 + -2 + 5y

Combine like terms: 5 + -2 = 3
-6 + 9y = 3 + 5y

Solving
-6 + 9y = 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.
-6 + 9y + -5y = 3 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-6 + 4y = 3 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + 4y = 3 + 0
-6 + 4y = 3

Add '6' to each side of the equation.
-6 + 6 + 4y = 3 + 6

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

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

Divide each side by '4'.
y = 2.25

Simplifying
y = 2.25