Solve 5(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

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

Solve for y

$y = -\frac{7}{2} = -3\frac{1}{2} = -3.5$

Steps for Solving Linear Equation

Use the distributive property to multiply $5$ by $y-4$.

$$5y-20-2\left(y-9\right)+5\left(y+6\right)=0$$

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

$$5y-20-2y+18+5\left(y+6\right)=0$$

Combine $5y$ and $-2y$ to get $3y$.

$$3y-20+18+5\left(y+6\right)=0$$

Add $-20$ and $18$ to get $-2$.

$$3y-2+5\left(y+6\right)=0$$

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

$$3y-2+5y+30=0$$

Combine $3y$ and $5y$ to get $8y$.

$$8y-2+30=0$$

Add $-2$ and $30$ to get $28$.

$$8y+28=0$$

Subtract $28$ from both sides. Anything subtracted from zero gives its negation.

$$8y=-28$$

Divide both sides by $8$.

$$y=\frac{-28}{8}$$

Reduce the fraction $\frac{-28}{8}$ to lowest terms by extracting and canceling out $4$.

$$y=-\frac{7}{2}$$