Solve (y + 1)/3 + (y + 1)/2 = 2 * (y + 3)/2 | 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

$$\frac{y+1}{3}+\frac{y+1}{2}=2\frac{y+3}{2}$$

Solve for y

$y=-13$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $3,2$.

$$2\left(y+1\right)+3\left(y+1\right)=6\left(y+3\right)$$

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

$$2y+2+3\left(y+1\right)=6\left(y+3\right)$$

Use the distributive property to multiply $3$ by $y+1$.

$$2y+2+3y+3=6\left(y+3\right)$$

Combine $2y$ and $3y$ to get $5y$.

$$5y+2+3=6\left(y+3\right)$$

Add $2$ and $3$ to get $5$.

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

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

$$5y+5=6y+18$$

Subtract $6y$ from both sides.

$$5y+5-6y=18$$

Combine $5y$ and $-6y$ to get $-y$.

$$-y+5=18$$

Subtract $5$ from both sides.

$$-y=18-5$$

Subtract $5$ from $18$ to get $13$.

$$-y=13$$

Multiply both sides by $-1$.

$$y=-13$$