Move all terms containing to the left side of the inequality.

Subtract from both sides of the inequality.

Subtract from .

Divide each term by and simplify.

Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify .

Cancel the common factor of and .

Factor out of .

Move the negative one from the denominator of .

Simplify the expression.

Rewrite as .

Multiply by .

Move all terms not containing to the right side of the inequality.

Subtract from both sides of the inequality.

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify each term.

Move the negative in front of the fraction.

Divide by .

Find the intersection of and .

Solve the System of Inequalities y>4x+3y<-4x+6