Solve 14(x-2)+3=1-3(2-y)

$$14 ( x - 2 ) + 3 = 1 - 3 ( 2 - y )$$

Solve for x

$$x=\frac{3y}{14}+\frac{10}{7}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 14 by x-2.

$$14x-28+3=1-3\left(2-y\right)$$

Add -28 and 3 to get -25.

$$14x-25=1-3\left(2-y\right)$$

Use the distributive property to multiply -3 by 2-y.

$$14x-25=1-6+3y$$

Subtract 6 from 1 to get -5.

$$14x-25=-5+3y$$

Add 25 to both sides.

$$14x=-5+3y+25$$

Add -5 and 25 to get 20.

$$14x=20+3y$$

The equation is in standard form.

$$14x=3y+20$$

Divide both sides by 14.

$$\frac{14x}{14}=\frac{3y+20}{14}$$

Dividing by 14 undoes the multiplication by 14.

$$x=\frac{3y+20}{14}$$

Divide 20+3y by 14.

$$x=\frac{3y}{14}+\frac{10}{7}$$

Solve for y

$$y=\frac{14x-20}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 14 by x-2.

$$14x-28+3=1-3\left(2-y\right)$$

Add -28 and 3 to get -25.

$$14x-25=1-3\left(2-y\right)$$

Use the distributive property to multiply -3 by 2-y.

$$14x-25=1-6+3y$$

Subtract 6 from 1 to get -5.

$$14x-25=-5+3y$$

Swap sides so that all variable terms are on the left hand side.

$$-5+3y=14x-25$$

Add 5 to both sides.

$$3y=14x-25+5$$

Add -25 and 5 to get -20.

$$3y=14x-20$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{14x-20}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{14x-20}{3}$$