Solve 12y+18/25=5y-39/25

$$12 y + \frac { 18 } { 25 } = 5 y - \frac { 39 } { 25 }$$

Solve for y

$$y=-\frac{57}{175}\approx -0.325714286$$

Steps for Solving Linear Equation

Subtract 5y from both sides.

$$12y+\frac{18}{25}-5y=-\frac{39}{25}$$

Combine 12y and -5y to get 7y.

$$7y+\frac{18}{25}=-\frac{39}{25}$$

Subtract \frac{18}{25} from both sides.

$$7y=-\frac{39}{25}-\frac{18}{25}$$

Since -\frac{39}{25} and \frac{18}{25} have the same denominator, subtract them by subtracting their numerators.

$$7y=\frac{-39-18}{25}$$

Subtract 18 from -39 to get -57.

$$7y=-\frac{57}{25}$$

Divide both sides by 7.

$$y=\frac{-\frac{57}{25}}{7}$$

Express \frac{-\frac{57}{25}}{7} as a single fraction.

$$y=\frac{-57}{25\times 7}$$

Multiply 25 and 7 to get 175.

$$y=\frac{-57}{175}$$

Fraction \frac{-57}{175} can be rewritten as -\frac{57}{175} by extracting the negative sign.

$$y=-\frac{57}{175}$$