Solve 15(y - 4) - 2(y - 9) + 5(y + 6) = 0 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

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

Solve for y

$y=\frac{2}{3}\approx 0.666666667$

Steps for Solving Linear Equation

Use the distributive property to multiply $15$ by $y-4$.

$$15y-60-2\left(y-9\right)+5\left(y+6\right)=0$$

Use the distributive property to multiply $-2$ by $y-9$.

$$15y-60-2y+18+5\left(y+6\right)=0$$

Combine $15y$ and $-2y$ to get $13y$.

$$13y-60+18+5\left(y+6\right)=0$$

Add $-60$ and $18$ to get $-42$.

$$13y-42+5\left(y+6\right)=0$$

Use the distributive property to multiply $5$ by $y+6$.

$$13y-42+5y+30=0$$

Combine $13y$ and $5y$ to get $18y$.

$$18y-42+30=0$$

Add $-42$ and $30$ to get $-12$.

$$18y-12=0$$

Add $12$ to both sides. Anything plus zero gives itself.

$$18y=12$$

Divide both sides by $18$.

$$y=\frac{12}{18}$$

Reduce the fraction $\frac{12}{18}$ to lowest terms by extracting and canceling out $6$.

$$y=\frac{2}{3}$$