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Let's evaluate the following expressions:
a.) y+y+y and 3y
b.) 2y^2+ 3 and 2(2+y^2)-2
a.) y+y+y and 3y
[tex]\text{ y + y + y = 3y}[/tex][tex]\text{ 3y = 3y}[/tex]Therefore, y+y+y and 3y are equal.
b.) 2y^2+ 3 and 2(2+y^2)-2
[tex]\text{ 2y}^2+3=2(2+y^2)\text{ - 2}[/tex][tex]\text{ 2y}^2+3=4+2y^2\text{ - 2}[/tex][tex]\text{ 2y}^2+3=2y^2+4\text{ - 2}[/tex][tex]\text{ 2y}^2+3\ne2y^2+2[/tex]Therefore, 2y^2+ 3 and 2(2+y^2)-2 are not equal.