Solve for y. 23=(7)/(9)y-12 Answer: y=

Add 12 to isolate y: Add 12 to both sides of the equation to isolate the term containing y on one side. We start with the equation 23 = (7/9)y - 12. To isolate the term with y, we add 12 to both sides of the equation: 23 + 12 = (7/9)y - 12 + 12 This simplifies to: 35 = (7/9)yMultiply by 9/7 for y: Multiply both sides of the equation by 9/7 to solve for y. To get y by itself, we need to undo the multiplication by 7/9. We do this by multiplying both sides of the equation by the reciprocal of 7/9, which is 9/7: (9/7) * 35 = (9/7) * (7/9)y This simplifies to: 45 = y

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Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

y

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23=\frac{7}{9} y-12

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Answer:

y=

Add $12$ to isolate y: Add $12$ to both sides of the equation to isolate the term containing y on one side. $\newline$ We start with the equation $23 = \left(\frac{7}{9}\right)y - 12$ . To isolate the term with y, we add $12$ to both sides of the equation: $\newline$ $23 + 12 = \left(\frac{7}{9}\right)y - 12 + 12$ $\newline$ This simplifies to: $\newline$ $35 = \left(\frac{7}{9}\right)y$
Multiply by $\frac{9}{7}$ for $y$ : Multiply both sides of the equation by $\frac{9}{7}$ to solve for $y$ . To get $y$ by itself, we need to undo the multiplication by $\frac{7}{9}$ . We do this by multiplying both sides of the equation by the reciprocal of $\frac{7}{9}$ , which is $\frac{9}{7}$ : $\left(\frac{9}{7}\right) \times 35 = \left(\frac{9}{7}\right) \times \left(\frac{7}{9}\right)y$ This simplifies to: $45 = y$