Solve for y. sqrt –y = sqrt ( –4y − 3) y = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–y))^2 = (sqrt(–4y − 3))^2 –y = –4y − 3Add 4y: Add 4y to both sides of the equation to start isolating y. –y + 4y = –4y + 4y − 3 3y = –3Divide by 3: Divide both sides of the equation by 3 to solve for y. 3y / 3 = –3 / 3 y = –1

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Solve for $y$ . $\newline$ $\sqrt{\,-y} = \sqrt{\,-4y - 3}$ $\newline$ $y = \,\_\_\_\_\_$

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Q. Solve for

y

\newline

\sqrt{\,-y} = \sqrt{\,-4y - 3}

\newline

y = \,\_\_\_\_\_

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-y})^2 = (\sqrt{-4y - 3})^2$ $\newline$ $-y = -4y - 3$
Add $4y$ : Add $4y$ to both sides of the equation to start isolating $y$ . $\newline$ $-y + 4y = -4y + 4y - 3$ $\newline$ $3y = -3$
Divide by $3$ : Divide both sides of the equation by $3$ to solve for $y$ . $\frac{3y}{3} = \frac{-3}{3}$ $y = -1$