Solve 6(2y-1)-5(y+3)=3(y+5)-24 | 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

$$6(2y-1)-5(y+3)=3(y+5)-24$$

Solve for y

$y=3$

Steps for Solving Linear Equation

Use the distributive property to multiply $6$ by $2y-1$.

$$12y-6-5\left(y+3\right)=3\left(y+5\right)-24$$

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

$$12y-6-5y-15=3\left(y+5\right)-24$$

Combine $12y$ and $-5y$ to get $7y$.

$$7y-6-15=3\left(y+5\right)-24$$

Subtract $15$ from $-6$ to get $-21$.

$$7y-21=3\left(y+5\right)-24$$

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

$$7y-21=3y+15-24$$

Subtract $24$ from $15$ to get $-9$.

$$7y-21=3y-9$$

Subtract $3y$ from both sides.

$$7y-21-3y=-9$$

Combine $7y$ and $-3y$ to get $4y$.

$$4y-21=-9$$

Add $21$ to both sides.

$$4y=-9+21$$

Add $-9$ and $21$ to get $12$.

$$4y=12$$

Divide both sides by $4$.

$$y=\frac{12}{4}$$

Divide $12$ by $4$ to get $3$.

$$y=3$$