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

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

Solve for y

$y=1$

Steps for Solving Linear Equation

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

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

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

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

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

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

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

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

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

$$13y-42+5y+30=6$$

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

$$18y-42+30=6$$

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

$$18y-12=6$$

Add $12$ to both sides.

$$18y=6+12$$

Add $6$ and $12$ to get $18$.

$$18y=18$$

Divide both sides by $18$.

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

Divide $18$ by $18$ to get $1$.

$$y=1$$