Solve 4(y-1)-(y-5)=10

$$4 ( y - 1 ) - ( y - 5 ) = 10$$

Solve for y

$$y=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by y-1.

$$4y-4-\left(y-5\right)=10$$

To find the opposite of y-5, find the opposite of each term.

$$4y-4-y-\left(-5\right)=10$$

The opposite of -5 is 5.

$$4y-4-y+5=10$$

Combine 4y and -y to get 3y.

$$3y-4+5=10$$

Add -4 and 5 to get 1.

$$3y+1=10$$

Subtract 1 from both sides.

$$3y=10-1$$

Subtract 1 from 10 to get 9.

$$3y=9$$

Divide both sides by 3.

$$y=\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$y=3$$