Question

(10 + 2r - r²) + (1 - 6r² - 18 + 5r)

Explanation:

Step1: Rewrite the expression clearly

$(5y + 81 - y - 6) + (y - 7y + 10) = 0$

Step2: Combine like terms in first bracket

$(5y - y + 81 - 6) + (y - 7y + 10) = 0$
$4y + 75 + (y - 7y + 10) = 0$

Step3: Combine like terms in second bracket

$4y + 75 + (-6y + 10) = 0$

Step4: Combine all like terms

$4y - 6y + 75 + 10 = 0$
$-2y + 85 = 0$

Step5: Isolate the variable term

$-2y = -85$

Step6: Solve for y

$y = \frac{-85}{-2} = \frac{85}{2}$

Answer:

$y=\frac{85}{2}$ or $y=42.5$