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

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

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

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

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

Combine like terms: 7y + 3y = 10y
-6 + 10y = 5(y + 1) + -3

Reorder the terms:
-6 + 10y = 5(1 + y) + -3
-6 + 10y = (1 * 5 + y * 5) + -3
-6 + 10y = (5 + 5y) + -3

Reorder the terms:
-6 + 10y = 5 + -3 + 5y

Combine like terms: 5 + -3 = 2
-6 + 10y = 2 + 5y

Solving
-6 + 10y = 2 + 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 + 10y + -5y = 2 + 5y + -5y

Combine like terms: 10y + -5y = 5y
-6 + 5y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + 5y = 2 + 0
-6 + 5y = 2

Add '6' to each side of the equation.
-6 + 6 + 5y = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = 2 + 6
5y = 2 + 6

Combine like terms: 2 + 6 = 8
5y = 8

Divide each side by '5'.
y = 1.6

Simplifying
y = 1.6