Solve 3*(2y-1)=5*(3y+2)

$$3 \cdot ( 2 y - 1 ) = 5 \cdot ( 3 y + 2 )$$

Solve for y

$$y = -\frac{13}{9} = -1\frac{4}{9} \approx -1.444444444$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2y-1.

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

Use the distributive property to multiply 5 by 3y+2.

$$6y-3=15y+10$$

Subtract 15y from both sides.

$$6y-3-15y=10$$

Combine 6y and -15y to get -9y.

$$-9y-3=10$$

Add 3 to both sides.

$$-9y=10+3$$

Add 10 and 3 to get 13.

$$-9y=13$$

Divide both sides by -9.

$$y=\frac{13}{-9}$$

Fraction \frac{13}{-9} can be rewritten as -\frac{13}{9} by extracting the negative sign.

$$y=-\frac{13}{9}$$