7y+3(y-6)=5(y+1)-2

Solution for 7y+3(y-6)=5(y+1)-2 equation:

Simplifying
7y + 3(y + -6) = 5(y + 1) + -2

Reorder the terms:
7y + 3(-6 + y) = 5(y + 1) + -2
7y + (-6 * 3 + y * 3) = 5(y + 1) + -2
7y + (-18 + 3y) = 5(y + 1) + -2

Reorder the terms:
-18 + 7y + 3y = 5(y + 1) + -2

Combine like terms: 7y + 3y = 10y
-18 + 10y = 5(y + 1) + -2

Reorder the terms:
-18 + 10y = 5(1 + y) + -2
-18 + 10y = (1 * 5 + y * 5) + -2
-18 + 10y = (5 + 5y) + -2

Reorder the terms:
-18 + 10y = 5 + -2 + 5y

Combine like terms: 5 + -2 = 3
-18 + 10y = 3 + 5y

Solving
-18 + 10y = 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.
-18 + 10y + -5y = 3 + 5y + -5y

Combine like terms: 10y + -5y = 5y
-18 + 5y = 3 + 5y + -5y

Combine like terms: 5y + -5y = 0
-18 + 5y = 3 + 0
-18 + 5y = 3

Add '18' to each side of the equation.
-18 + 18 + 5y = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 5y = 3 + 18
5y = 3 + 18

Combine like terms: 3 + 18 = 21
5y = 21

Divide each side by '5'.
y = 4.2

Simplifying
y = 4.2