Solve 3(5 - y) = 4(3y + 2) + 27 | 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

$$3(5-y)=4(3y+2)+27$$

Solve for y

$y = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$

Steps for Solving Linear Equation

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

$$15-3y=4\left(3y+2\right)+27$$

Use the distributive property to multiply $4$ by $3y+2$.

$$15-3y=12y+8+27$$

Add $8$ and $27$ to get $35$.

$$15-3y=12y+35$$

Subtract $12y$ from both sides.

$$15-3y-12y=35$$

Combine $-3y$ and $-12y$ to get $-15y$.

$$15-15y=35$$

Subtract $15$ from both sides.

$$-15y=35-15$$

Subtract $15$ from $35$ to get $20$.

$$-15y=20$$

Divide both sides by $-15$.

$$y=\frac{20}{-15}$$

Reduce the fraction $\frac{20}{-15}$ to lowest terms by extracting and canceling out $5$.

$$y=-\frac{4}{3}$$