Solve 5y+8/5-7/10=-9y-10/10

$$\frac { 5 y + 8 } { 5 } - \frac { 7 } { 10 } = \frac { - 9 y - 10 } { 10 }$$

Solve for y

$$y=-1$$

Steps for Solving Linear Equation

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

$$2\left(5y+8\right)-7=-9y-10$$

Use the distributive property to multiply 2 by 5y+8.

$$10y+16-7=-9y-10$$

Subtract 7 from 16 to get 9.

$$10y+9=-9y-10$$

Add 9y to both sides.

$$10y+9+9y=-10$$

Combine 10y and 9y to get 19y.

$$19y+9=-10$$

Subtract 9 from both sides.

$$19y=-10-9$$

Subtract 9 from -10 to get -19.

$$19y=-19$$

Divide both sides by 19.

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

Divide -19 by 19 to get -1.

$$y=-1$$