5y-4+2(5y+8)=-3(y+1)

Solution for 5y-4+2(5y+8)=-3(y+1) equation:

Simplifying
5y + -4 + 2(5y + 8) = -3(y + 1)

Reorder the terms:
5y + -4 + 2(8 + 5y) = -3(y + 1)
5y + -4 + (8 * 2 + 5y * 2) = -3(y + 1)
5y + -4 + (16 + 10y) = -3(y + 1)

Reorder the terms:
-4 + 16 + 5y + 10y = -3(y + 1)

Combine like terms: -4 + 16 = 12
12 + 5y + 10y = -3(y + 1)

Combine like terms: 5y + 10y = 15y
12 + 15y = -3(y + 1)

Reorder the terms:
12 + 15y = -3(1 + y)
12 + 15y = (1 * -3 + y * -3)
12 + 15y = (-3 + -3y)

Solving
12 + 15y = -3 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
12 + 15y + 3y = -3 + -3y + 3y

Combine like terms: 15y + 3y = 18y
12 + 18y = -3 + -3y + 3y

Combine like terms: -3y + 3y = 0
12 + 18y = -3 + 0
12 + 18y = -3

Add '-12' to each side of the equation.
12 + -12 + 18y = -3 + -12

Combine like terms: 12 + -12 = 0
0 + 18y = -3 + -12
18y = -3 + -12

Combine like terms: -3 + -12 = -15
18y = -15

Divide each side by '18'.
y = -0.8333333333

Simplifying
y = -0.8333333333