Simplify the left side.−y−24y=y−910yRemove parentheses.−y−24y=y−910ySet up the rational expression with the same denominator over the entire equation.−5y−1020y=2y−1820ySince the expression on each side of the equation has the same denominator, the numerators must be equal.−(5y−10)=2y−18Simplify the left side−5y+10=2y−18Move all terms containing y to the left side of the equation−7y+10=−18Move all terms not containing y to the right side of the equation.−7y=−28Divide each term by −7 and simplify.y=4Check that all solutions found are valid and are part of the domain by substituting them into the original equation.y=4
