In the equation -3(y-2)2/3+29=-19, the values of y are
1 answer:
See attached explanation.: Answer: y=26 or
Step-by-step.<span><span><span><span><span>(<span>−<span>3<span>(<span>y−2</span>)</span></span></span>)</span><span>(2)</span></span>3</span>+29</span>=<span>−19</span></span>
Step 1: Simplify both sides of the equation.<span><span><span><span><span>(<span>−<span>3<span>(<span>y−2</span>)</span></span></span>)</span><span>(2)</span></span>3</span>+29</span>=<span>−19</span></span><span>Simplify: </span><span><span><span><span>−<span>2y</span></span>+4</span>+29</span>=<span>−19 </span></span>(Distribute)<span><span><span>(<span>−<span>2y</span></span>)</span>+<span>(<span>4+29</span>)</span></span>=<span>−19 </span></span>(Combine Like Terms)<span><span><span>−<span>2y</span></span>+33</span>=<span>−19</span></span><span><span><span>−<span>2y</span></span>+33</span>=<span>−19
</span></span>Step 2: Subtract 33 from both sides.<span><span><span><span>−<span>2y</span></span>+33</span>−33</span>=<span><span>−19</span>−33</span></span><span><span>−<span>2y</span></span>=<span>−52
</span></span>Step 3: Divide both sides by -2.<span><span><span>−<span>2y</span></span><span>−2</span></span>=<span><span>−52</span><span>−2</span></span></span><span>y=26</span>Answer: y=26
Step-by-step.<span><span><span><span><span>(<span>−<span>3<span>(<span>y−2</span>)</span></span></span>)</span><span>(2)</span></span>3</span>+29</span>=<span>−19</span></span>
Step 1: Simplify both sides of the equation.<span><span><span><span><span>(<span>−<span>3<span>(<span>y−2</span>)</span></span></span>)</span><span>(2)</span></span>3</span>+29</span>=<span>−19</span></span><span>Simplify: </span><span><span><span><span>−<span>2y</span></span>+4</span>+29</span>=<span>−19 </span></span>(Distribute)<span><span><span>(<span>−<span>2y</span></span>)</span>+<span>(<span>4+29</span>)</span></span>=<span>−19 </span></span>(Combine Like Terms)<span><span><span>−<span>2y</span></span>+33</span>=<span>−19</span></span><span><span><span>−<span>2y</span></span>+33</span>=<span>−19
</span></span>Step 2: Subtract 33 from both sides.<span><span><span><span>−<span>2y</span></span>+33</span>−33</span>=<span><span>−19</span>−33</span></span><span><span>−<span>2y</span></span>=<span>−52
</span></span>Step 3: Divide both sides by -2.<span><span><span>−<span>2y</span></span><span>−2</span></span>=<span><span>−52</span><span>−2</span></span></span><span>y=26</span>Answer: y=26
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