Final answer:
To simplify the equation, we can start by substituting the squared expressions and then combining the fractions to find a common denominator. Simplifying further, we get the equation 169y²+1690y+265 = 0.
Step-by-step explanation:
To simplify the equation (-1)²/169 + (y+5)²/25 = 1, we can start by simplifying the square expressions. (-1)² is equal to 1 and (y+5)² is equal to (y+5)(y+5) which can be expanded as y²+10y+25. Substituting these values into the equation, we have 1/169 + (y²+10y+25)/25 = 1. To combine the fractions, we need to find a common denominator, which in this case is 3385. Multiply the first fraction by 25/25 and the second fraction by 169/169 to get (25+169(y²+10y+25))/3385 = 1. Simplifying further, we have 25+169y²+1690y+4225 = 3385. Combining like terms, we get 169y²+1690y+4225 = 3360. Subtracting 3360 from both sides gives us 169y²+1690y+265 = 0.