Solve 7(2y-4)+5(3y-4)+2(2y+4)=22 | 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

$$7(2y-4)+5(3y-4)+2(2y+4)=22$$

Solve for y

$y = \frac{62}{33} = 1\frac{29}{33} \approx 1.878787879$

Steps for Solving Linear Equation

Use the distributive property to multiply $7$ by $2y-4$.

$$14y-28+5\left(3y-4\right)+2\left(2y+4\right)=22$$

Use the distributive property to multiply $5$ by $3y-4$.

$$14y-28+15y-20+2\left(2y+4\right)=22$$

Combine $14y$ and $15y$ to get $29y$.

$$29y-28-20+2\left(2y+4\right)=22$$

Subtract $20$ from $-28$ to get $-48$.

$$29y-48+2\left(2y+4\right)=22$$

Use the distributive property to multiply $2$ by $2y+4$.

$$29y-48+4y+8=22$$

Combine $29y$ and $4y$ to get $33y$.

$$33y-48+8=22$$

Add $-48$ and $8$ to get $-40$.

$$33y-40=22$$

Add $40$ to both sides.

$$33y=22+40$$

Add $22$ and $40$ to get $62$.

$$33y=62$$

Divide both sides by $33$.

$$y=\frac{62}{33}$$