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$12(5+2y)=4y - (5 - 9y)$

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Solve multi-step equations with fractional coefficients

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Q.

12(5+2y)=4y - (5 - 9y)

Distribute $12$ : Distribute $12$ to the terms inside the parentheses. $\newline$ $12(5) + 12(2y) = 4y - (5 - 9y)$ $\newline$ $60 + 24y = 4y - 5 + 9y$
Combine like terms: Combine like terms on the right side. $\newline$ $60 + 24y = 13y - 5$
Subtract $13y$ : Subtract $13y$ from both sides to get all $y$ terms on one side. $\newline$ $60 + 24y - 13y = 13y - 13y - 5$ $\newline$ $60 + 11y = -5$
Subtract $60$ : Subtract $60$ from both sides to isolate the $y$ term. $\newline$ $60 + 11y - 60 = -5 - 60$ $\newline$ $11y = -65$
Divide by $11$ : Divide both sides by $11$ to solve for $y$ . $\frac{11y}{11} = \frac{-65}{11}$ $y = -5$

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