Solve 3*(2-3/2y)-5y=6

$$3 \times (2- \frac{ 3 }{ 2 } y)-5y=6$$

Solve for y

$$y=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2-\frac{3}{2}y.

$$6+3\left(-\frac{3}{2}\right)y-5y=6$$

Express 3\left(-\frac{3}{2}\right) as a single fraction.

$$6+\frac{3\left(-3\right)}{2}y-5y=6$$

Multiply 3 and -3 to get -9.

$$6+\frac{-9}{2}y-5y=6$$

Fraction \frac{-9}{2} can be rewritten as -\frac{9}{2} by extracting the negative sign.

$$6-\frac{9}{2}y-5y=6$$

Combine -\frac{9}{2}y and -5y to get -\frac{19}{2}y.

$$6-\frac{19}{2}y=6$$

Subtract 6 from both sides.

$$-\frac{19}{2}y=6-6$$

Subtract 6 from 6 to get 0.

$$-\frac{19}{2}y=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -\frac{19}{2} is not equal to 0, y must be equal to 0.

$$y=0$$