Solve ( ) 7(- 2y + 4) = - 4y | 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

$$7 ( - 2 y + 4 ) = - 4 y$$

Solve for y

$y = \frac{14}{5} = 2\frac{4}{5} = 2.8$

Steps for Solving Linear Equation

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

$$-14y+28=-4y$$

Add $4y$ to both sides.

$$-14y+28+4y=0$$

Combine $-14y$ and $4y$ to get $-10y$.

$$-10y+28=0$$

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

$$-10y=-28$$

Divide both sides by $-10$.

$$y=\frac{-28}{-10}$$

Reduce the fraction $\frac{-28}{-10}$ to lowest terms by extracting and canceling out $-2$.

$$y=\frac{14}{5}$$