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15(y-4)-2(y-9)+5(y+6)=0

Simplify the equation : $15(y-4)-2(y-9)+5(y+6)=0$

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Solve equations with the distributive property

Full solution

Q. Simplify the equation :

15(y-4)-2(y-9)+5(y+6)=0

Simplify Equation: Simplify the equation by distributing the numbers into the parentheses. $\newline$ $15(y-4) - 2(y-9) + 5(y+6) = 0$ $\newline$ $15y - 60 - 2y + 18 + 5y + 30 = 0$
Combine Like Terms: Combine like terms. $\newline$ $15y - 2y + 5y - 60 + 18 + 30 = 0$ $\newline$ $18y - 12 = 0$
Isolate y: Isolate y by adding $12$ to both sides. $\newline$ $18y - 12 + 12 = 0 + 12$ $\newline$ $18y = 12$
Divide by $18$ : Divide both sides by $18$ to solve for $y$ . $y = \frac{12}{18}$ $y = \frac{2}{3}$

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