Solve y-10/5-y-7/3=1

$$\frac { y - 10 } { 5 } - \frac { y - 7 } { 3 } = 1$$

Solve for y

$$y=-5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(y-10\right)-5\left(y-7\right)=15$$

Use the distributive property to multiply 3 by y-10.

$$3y-30-5\left(y-7\right)=15$$

Use the distributive property to multiply -5 by y-7.

$$3y-30-5y+35=15$$

Combine 3y and -5y to get -2y.

$$-2y-30+35=15$$

Add -30 and 35 to get 5.

$$-2y+5=15$$

Subtract 5 from both sides.

$$-2y=15-5$$

Subtract 5 from 15 to get 10.

$$-2y=10$$

Divide both sides by -2.

$$y=\frac{10}{-2}$$

Divide 10 by -2 to get -5.

$$y=-5$$