Subtract <math><mstyle displaystyle="true"><mn>5</mn><mi>y</mi></mstyle></math> from both sides of the inequality.

Subtract <math><mstyle displaystyle="true"><mn>5</mn><mi>y</mi></mstyle></math> from <math><mstyle displaystyle="true"><mn>2</mn><mi>y</mi></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>3</mn><mi>x</mi></mstyle></math> to both sides of the inequality.

Divide each term in <math><mstyle displaystyle="true"><mo>-</mo><mn>3</mn><mi>y</mi><mo>></mo><mn>9</mn><mo>+</mo><mn>3</mn><mi>x</mi></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>3</mn></mstyle></math> . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

Simplify the left side.

Cancel the common factor of <math><mstyle displaystyle="true"><mo>-</mo><mn>3</mn></mstyle></math> .

Cancel the common factor.

Divide <math><mstyle displaystyle="true"><mi>y</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Simplify the right side.

Simplify each term.

Divide <math><mstyle displaystyle="true"><mn>9</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>3</mn></mstyle></math> .

Cancel the common factor of <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> and <math><mstyle displaystyle="true"><mo>-</mo><mn>3</mn></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>3</mn><mi>x</mi></mstyle></math> .

Move the negative one from the denominator of <math><mstyle displaystyle="true"><mfrac><mrow><mi>x</mi></mrow><mrow><mo>-</mo><mn>1</mn></mrow></mfrac></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn><mo>⋅</mo><mi>x</mi></mstyle></math> as <math><mstyle displaystyle="true"><mo>-</mo><mi>x</mi></mstyle></math> .

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