Solve 2(2y+5)-(3x-4)=29

$$2 ( 2 y + 5 ) - ( 3 x - 4 ) = 29$$

Solve for x

$$x=\frac{4y}{3}-5$$

Steps for Solving Linear Equation

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

$$4y+10-\left(3x-4\right)=29$$

To find the opposite of 3x-4, find the opposite of each term.

$$4y+10-3x+4=29$$

Add 10 and 4 to get 14.

$$4y+14-3x=29$$

Subtract 4y from both sides.

$$14-3x=29-4y$$

Subtract 14 from both sides.

$$-3x=29-4y-14$$

Subtract 14 from 29 to get 15.

$$-3x=15-4y$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{15-4y}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{15-4y}{-3}$$

Divide 15-4y by -3.

$$x=\frac{4y}{3}-5$$

Solve for y

$$y=\frac{3\left(x+5\right)}{4}$$

Steps for Solving Linear Equation

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

$$4y+10-\left(3x-4\right)=29$$

To find the opposite of 3x-4, find the opposite of each term.

$$4y+10-3x+4=29$$

Add 10 and 4 to get 14.

$$4y+14-3x=29$$

Subtract 14 from both sides.

$$4y-3x=29-14$$

Subtract 14 from 29 to get 15.

$$4y-3x=15$$

Add 3x to both sides.

$$4y=15+3x$$

The equation is in standard form.

$$4y=3x+15$$

Divide both sides by 4.

$$\frac{4y}{4}=\frac{3x+15}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$y=\frac{3x+15}{4}$$