Solve y/4 + 2 = (2y)/3 - 1/2 | 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

$$\frac{y}{4}+2=\frac{2y}{3}-\frac{1}{2}$$

Solve for y

$y=6$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $4,3,2$.

$$3y+24=4\times 2y-6$$

Multiply $4$ and $2$ to get $8$.

$$3y+24=8y-6$$

Subtract $8y$ from both sides.

$$3y+24-8y=-6$$

Combine $3y$ and $-8y$ to get $-5y$.

$$-5y+24=-6$$

Subtract $24$ from both sides.

$$-5y=-6-24$$

Subtract $24$ from $-6$ to get $-30$.

$$-5y=-30$$

Divide both sides by $-5$.

$$y=\frac{-30}{-5}$$

Divide $-30$ by $-5$ to get $6$.

$$y=6$$