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

To solve the equation 5-8(y+2)=1+5y, we need to simplify the expression on both sides of the equal sign and then solve for the variable y.

First, let's distribute the -8 to both terms inside the parentheses.

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

distribute the -8:

5 - 8y - 16 = 1 + 5y

Combine like terms on both sides of the equation.

-8y - 11 = 1 + 5y

Add 8y to both sides of the equation to isolate the terms with the variable y.

-8y + 8y - 11 = 1 + 5y + 8y

Simplify:

-11 = 1 + 13y

Next, subtract 1 from both sides of the equation.

-11 - 1 = 1 + 13y - 1

Simplify:

-12 = 13y

Finally, divide both sides of the equation by 13 to solve for y.

-12/13 = 13y/13

Simplify:

y = -12/13

The solution to the equation is y = -12/13.