Solve 43/14=28y-13/8y-2

$$\frac { 43 } { 14 } = \frac { 28 y - 13 } { 8 y - 2 }$$

Solve for y

$$y=2$$

Steps for Solving Linear Equation

Variable y cannot be equal to \frac{1}{4} since division by zero is not defined. Multiply both sides of the equation by 14\left(4y-1\right), the least common multiple of 14,8y-2.

$$43\left(4y-1\right)=7\left(28y-13\right)$$

Use the distributive property to multiply 43 by 4y-1.

$$172y-43=7\left(28y-13\right)$$

Use the distributive property to multiply 7 by 28y-13.

$$172y-43=196y-91$$

Subtract 196y from both sides.

$$172y-43-196y=-91$$

Combine 172y and -196y to get -24y.

$$-24y-43=-91$$

Add 43 to both sides.

$$-24y=-91+43$$

Add -91 and 43 to get -48.

$$-24y=-48$$

Divide both sides by -24.

$$y=\frac{-48}{-24}$$

Divide -48 by -24 to get 2.

$$y=2$$