7y+3(y-2)=6(y+1)-3

Solution for 7y+3(y-2)=6(y+1)-3 equation:

Simplifying
7y + 3(y + -2) = 6(y + 1) + -3

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

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

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

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

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

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

Solving
-6 + 10y = 3 + 6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6y' to each side of the equation.
-6 + 10y + -6y = 3 + 6y + -6y

Combine like terms: 10y + -6y = 4y
-6 + 4y = 3 + 6y + -6y

Combine like terms: 6y + -6y = 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