Solve 2y-3/4=6y+7/3

$$\frac { 2 y - 3 } { 4 } = \frac { 6 y + 7 } { 3 }$$

Solve for y

$$y = -\frac{37}{18} = -2\frac{1}{18} \approx -2.055555556$$

Steps for Solving Linear Equation

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

$$3\left(2y-3\right)=4\left(6y+7\right)$$

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

$$6y-9=4\left(6y+7\right)$$

Use the distributive property to multiply 4 by 6y+7.

$$6y-9=24y+28$$

Subtract 24y from both sides.

$$6y-9-24y=28$$

Combine 6y and -24y to get -18y.

$$-18y-9=28$$

Add 9 to both sides.

$$-18y=28+9$$

Add 28 and 9 to get 37.

$$-18y=37$$

Divide both sides by -18.

$$y=\frac{37}{-18}$$

Fraction \frac{37}{-18} can be rewritten as -\frac{37}{18} by extracting the negative sign.

$$y=-\frac{37}{18}$$