Since <span>6y</span><span> does not contain the </span>variable<span> to solve for, move it to the right-hand side of the </span>equation<span> by subtracting </span><span>6y</span><span> from both sides. </span><span>−4x=−6y+24
</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span><span>−4</span>. </span><span>−<span><span>4x/</span><span>−4</span></span>=−<span><span>6y/</span><span>−4</span></span>+<span>24/<span>−4</span></span></span><span> </span> Simplify <span>x=<span><span>3y/</span>2</span>+<span>24/<span>−4 </span></span></span><span> </span>Divide 24<span> by </span><span>−4</span><span> to get </span><span><span>−6</span>.</span><span> </span><span> x=<span><span>3y/</span>2</span>−6</span><span> </span> x is equal to 3y/2−6
You solve y the same way you solve x:
Because <span>−4x</span><span> does not contain the </span>variable<span> to solve for, move it to the right-hand side of the </span>equation<span> by adding </span><span>4x</span><span> to both sides. </span><span>6y=4x+24 </span> Divide<span> each </span>term<span> in the </span>equation<span> by </span><span>6. </span><span><span><span>6y/</span>6</span>=<span><span>4x/</span>6</span>+<span>24/6</span></span><span> </span> Simplify y=<span><span>2x/</span>3</span>+<span>24/6
</span>Divide 24<span> by </span>6<span> to get </span><span>4.</span><span> </span><span>y=<span><span>2x/</span>3</span>+4</span><span> </span> y is equal to 2x/3+4