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.