Solve 7(2y - 27) + 3 = y - 3(12y + 6) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

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Question

$$7(2y-27)+3=y-3(12y+6)$$

Solve for y

$y = \frac{24}{7} = 3\frac{3}{7} \approx 3.428571429$

Steps for Solving Linear Equation

Use the distributive property to multiply $7$ by $2y-27$.

$$14y-189+3=y-3\left(12y+6\right)$$

Add $-189$ and $3$ to get $-186$.

$$14y-186=y-3\left(12y+6\right)$$

Use the distributive property to multiply $-3$ by $12y+6$.

$$14y-186=y-36y-18$$

Combine $y$ and $-36y$ to get $-35y$.

$$14y-186=-35y-18$$

Add $35y$ to both sides.

$$14y-186+35y=-18$$

Combine $14y$ and $35y$ to get $49y$.

$$49y-186=-18$$

Add $186$ to both sides.

$$49y=-18+186$$

Add $-18$ and $186$ to get $168$.

$$49y=168$$

Divide both sides by $49$.

$$y=\frac{168}{49}$$

Reduce the fraction $\frac{168}{49}$ to lowest terms by extracting and canceling out $7$.

$$y=\frac{24}{7}$$