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Solve for yy.\newline9y=8y+6\sqrt{9y} = \sqrt{8y + 6}\newliney=y = _____

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Full solution

Q. Solve for yy.\newline9y=8y+6\sqrt{9y} = \sqrt{8y + 6}\newliney=y = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(9y)2=(8y+6)2(\sqrt{9y})^2 = (\sqrt{8y + 6})^2\newline9y=8y+69y = 8y + 6
  2. Subtract to isolate variable: Subtract 8y8y from both sides to isolate the variable yy on one side of the equation.\newline9y−8y=8y+6−8y9y - 8y = 8y + 6 - 8y\newliney=6y = 6

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