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

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

Solve for y

$y=\frac{1}{2}=0.5$

Steps for Solving Linear Equation

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

$$2y-3-2\left(3y-5\right)=4y+3$$

Use the distributive property to multiply $-2$ by $3y-5$.

$$2y-3-6y+10=4y+3$$

Combine $2y$ and $-6y$ to get $-4y$.

$$-4y-3+10=4y+3$$

Add $-3$ and $10$ to get $7$.

$$-4y+7=4y+3$$

Subtract $4y$ from both sides.

$$-4y+7-4y=3$$

Combine $-4y$ and $-4y$ to get $-8y$.

$$-8y+7=3$$

Subtract $7$ from both sides.

$$-8y=3-7$$

Subtract $7$ from $3$ to get $-4$.

$$-8y=-4$$

Divide both sides by $-8$.

$$y=\frac{-4}{-8}$$

Reduce the fraction $\frac{-4}{-8}$ to lowest terms by extracting and canceling out $-4$.

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