Solve (2y + 3)/4 + (y - 5)/6 = 0 | 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

$$\frac{2y+3}{4}+\frac{y-5}{6}=0$$

Solve for y

$y=\frac{1}{8}=0.125$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $4,6$.

$$3\left(2y+3\right)+2\left(y-5\right)=0$$

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

$$6y+9+2\left(y-5\right)=0$$

Use the distributive property to multiply $2$ by $y-5$.

$$6y+9+2y-10=0$$

Combine $6y$ and $2y$ to get $8y$.

$$8y+9-10=0$$

Subtract $10$ from $9$ to get $-1$.

$$8y-1=0$$

Add $1$ to both sides. Anything plus zero gives itself.

$$8y=1$$

Divide both sides by $8$.

$$y=\frac{1}{8}$$