Solve 2y+3/4=5y-2

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

Solve for y

$$y=\frac{11}{18}\approx 0.611111111$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$2y+3=20y-8$$

Subtract 20y from both sides.

$$2y+3-20y=-8$$

Combine 2y and -20y to get -18y.

$$-18y+3=-8$$

Subtract 3 from both sides.

$$-18y=-8-3$$

Subtract 3 from -8 to get -11.

$$-18y=-11$$

Divide both sides by -18.

$$y=\frac{-11}{-18}$$

Fraction \frac{-11}{-18} can be simplified to \frac{11}{18} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{11}{18}$$