Solve 2y+1/5-1/2=1/10-3y-2/2

$$\frac { 2 y + 1 } { 5 } - \frac { 1 } { 2 } = \frac { 1 } { 10 } - \frac { 3 y - 2 } { 2 }$$

Solve for y

$$y=\frac{14}{19}\approx 0.736842105$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,2,10.

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

Use the distributive property to multiply 2 by 2y+1.

$$4y+2-5=1-5\left(3y-2\right)$$

Subtract 5 from 2 to get -3.

$$4y-3=1-5\left(3y-2\right)$$

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

$$4y-3=1-15y+10$$

Add 1 and 10 to get 11.

$$4y-3=11-15y$$

Add 15y to both sides.

$$4y-3+15y=11$$

Combine 4y and 15y to get 19y.

$$19y-3=11$$

Add 3 to both sides.

$$19y=11+3$$

Add 11 and 3 to get 14.

$$19y=14$$

Divide both sides by 19.

$$y=\frac{14}{19}$$