Solve 4(2y+1)-(3-y)=7

$$4 ( 2 y + 1 ) - ( 3 - y ) = 7$$

Solve for y

$$y=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2y+1.

$$8y+4-\left(3-y\right)=7$$

To find the opposite of 3-y, find the opposite of each term.

$$8y+4-3-\left(-y\right)=7$$

The opposite of -y is y.

$$8y+4-3+y=7$$

Subtract 3 from 4 to get 1.

$$8y+1+y=7$$

Combine 8y and y to get 9y.

$$9y+1=7$$

Subtract 1 from both sides.

$$9y=7-1$$

Subtract 1 from 7 to get 6.

$$9y=6$$

Divide both sides by 9.

$$y=\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$y=\frac{2}{3}$$