7y-8+2(3y+1)=-5(y+3)

Solution for 7y-8+2(3y+1)=-5(y+3) equation:

Simplifying
7y + -8 + 2(3y + 1) = -5(y + 3)

Reorder the terms:
7y + -8 + 2(1 + 3y) = -5(y + 3)
7y + -8 + (1 * 2 + 3y * 2) = -5(y + 3)
7y + -8 + (2 + 6y) = -5(y + 3)

Reorder the terms:
-8 + 2 + 7y + 6y = -5(y + 3)

Combine like terms: -8 + 2 = -6
-6 + 7y + 6y = -5(y + 3)

Combine like terms: 7y + 6y = 13y
-6 + 13y = -5(y + 3)

Reorder the terms:
-6 + 13y = -5(3 + y)
-6 + 13y = (3 * -5 + y * -5)
-6 + 13y = (-15 + -5y)

Solving
-6 + 13y = -15 + -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 + 13y + 5y = -15 + -5y + 5y

Combine like terms: 13y + 5y = 18y
-6 + 18y = -15 + -5y + 5y

Combine like terms: -5y + 5y = 0
-6 + 18y = -15 + 0
-6 + 18y = -15

Add '6' to each side of the equation.
-6 + 6 + 18y = -15 + 6

Combine like terms: -6 + 6 = 0
0 + 18y = -15 + 6
18y = -15 + 6

Combine like terms: -15 + 6 = -9
18y = -9

Divide each side by '18'.
y = -0.5

Simplifying
y = -0.5