Solve for y. sqrt ( –8 − 5y) = sqrt –y y = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–8 − 5y))^2 = (sqrt(–y))^2 –8 − 5y = –yMove terms with y: Move all terms containing y to one side of the equation to isolate the variable. –8 = –y + 5y –8 = 4yDivide by 4: Divide both sides by 4 to solve for y. –8 / 4 = 4y / 4 y = –2

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Solve for $y$ . $\newline$ $\sqrt{(-8 - 5y)} = \sqrt{-y}$ $\newline$ $y =$ _____

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Precalculus

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Q. Solve for

y

\newline

\sqrt{(-8 - 5y)} = \sqrt{-y}

\newline

y =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-8 - 5y})^2 = (\sqrt{-y})^2$ $\newline$ $-8 - 5y = -y$
Move terms with $y$ : Move all terms containing $y$ to one side of the equation to isolate the variable. $\newline$ $-8 = -y + 5y$ $\newline$ $-8 = 4y$
Divide by $4$ : Divide both sides by $4$ to solve for $y$ . $\frac{-8}{4} = \frac{4y}{4}$ $y = -2$