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

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

Solve for x

$$x=\frac{5y}{6}+\frac{1}{3}$$

Steps for Solving Linear Equation

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

$$2x-2y+2+4x=3y+4$$

Combine 2x and 4x to get 6x.

$$6x-2y+2=3y+4$$

Add 2y to both sides.

$$6x+2=3y+4+2y$$

Combine 3y and 2y to get 5y.

$$6x+2=5y+4$$

Subtract 2 from both sides.

$$6x=5y+4-2$$

Subtract 2 from 4 to get 2.

$$6x=5y+2$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{5y+2}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{5y+2}{6}$$

Divide 5y+2 by 6.

$$x=\frac{5y}{6}+\frac{1}{3}$$

Solve for y

$$y=\frac{6x-2}{5}$$

Steps for Solving Linear Equation

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

$$2x-2y+2+4x=3y+4$$

Combine 2x and 4x to get 6x.

$$6x-2y+2=3y+4$$

Subtract 3y from both sides.

$$6x-2y+2-3y=4$$

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

$$6x-5y+2=4$$

Subtract 6x from both sides.

$$-5y+2=4-6x$$

Subtract 2 from both sides.

$$-5y=4-6x-2$$

Subtract 2 from 4 to get 2.

$$-5y=2-6x$$

Divide both sides by -5.

$$\frac{-5y}{-5}=\frac{2-6x}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$y=\frac{2-6x}{-5}$$

Divide 2-6x by -5.

$$y=\frac{6x-2}{5}$$