Solve (3(y - 5))/4 - 4y = 3 - (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

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

Solve for y

$y=-3$

Steps for Solving Linear Equation

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

$$3\left(y-5\right)-16y=12-2\left(y-3\right)$$

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

$$3y-15-16y=12-2\left(y-3\right)$$

Combine $3y$ and $-16y$ to get $-13y$.

$$-13y-15=12-2\left(y-3\right)$$

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

$$-13y-15=12-2y+6$$

Add $12$ and $6$ to get $18$.

$$-13y-15=18-2y$$

Add $2y$ to both sides.

$$-13y-15+2y=18$$

Combine $-13y$ and $2y$ to get $-11y$.

$$-11y-15=18$$

Add $15$ to both sides.

$$-11y=18+15$$

Add $18$ and $15$ to get $33$.

$$-11y=33$$

Divide both sides by $-11$.

$$y=\frac{33}{-11}$$

Divide $33$ by $-11$ to get $-3$.

$$y=-3$$