Solve 0.2(3y-5)=0.15(2y+3)-0.85

$$0.2 ( 3 y - 5 ) = 0.15 ( 2 y + 3 ) - 0.85$$

Solve for y

$$y=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.2 by 3y-5.

$$0.6y-1=0.15\left(2y+3\right)-0.85$$

Use the distributive property to multiply 0.15 by 2y+3.

$$0.6y-1=0.3y+0.45-0.85$$

Subtract 0.85 from 0.45 to get -0.4.

$$0.6y-1=0.3y-0.4$$

Subtract 0.3y from both sides.

$$0.6y-1-0.3y=-0.4$$

Combine 0.6y and -0.3y to get 0.3y.

$$0.3y-1=-0.4$$

Add 1 to both sides.

$$0.3y=-0.4+1$$

Add -0.4 and 1 to get 0.6.

$$0.3y=0.6$$

Divide both sides by 0.3.

$$y=\frac{0.6}{0.3}$$

Expand \frac{0.6}{0.3} by multiplying both numerator and the denominator by 10.

$$y=\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$y=2$$