7y+3(y-8)=3(y+1)2

Solution for 7y+3(y-8)=3(y+1)2 equation:

Simplifying
7y + 3(y + -8) = 3(y + 1) * 2

Reorder the terms:
7y + 3(-8 + y) = 3(y + 1) * 2
7y + (-8 * 3 + y * 3) = 3(y + 1) * 2
7y + (-24 + 3y) = 3(y + 1) * 2

Reorder the terms:
-24 + 7y + 3y = 3(y + 1) * 2

Combine like terms: 7y + 3y = 10y
-24 + 10y = 3(y + 1) * 2

Reorder the terms:
-24 + 10y = 3(1 + y) * 2

Reorder the terms for easier multiplication:
-24 + 10y = 3 * 2(1 + y)

Multiply 3 * 2
-24 + 10y = 6(1 + y)
-24 + 10y = (1 * 6 + y * 6)
-24 + 10y = (6 + 6y)

Solving
-24 + 10y = 6 + 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.
-24 + 10y + -6y = 6 + 6y + -6y

Combine like terms: 10y + -6y = 4y
-24 + 4y = 6 + 6y + -6y

Combine like terms: 6y + -6y = 0
-24 + 4y = 6 + 0
-24 + 4y = 6

Add '24' to each side of the equation.
-24 + 24 + 4y = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 4y = 6 + 24
4y = 6 + 24

Combine like terms: 6 + 24 = 30
4y = 30

Divide each side by '4'.
y = 7.5

Simplifying
y = 7.5