Final answer:
To create an equation with infinitely many solutions, cancel out the terms on both sides of the equation to end up with a true statement: 3 = ?. The equation can have any real number on the right side.
Step-by-step explanation:
To create an equation with infinitely many solutions, we need to set up an equation where both sides are equal, regardless of the value of the variable. In this case, we can accomplish that by canceling out the terms on both sides of the equation.
We have: 12y + 3 = 10y + 2y + ?
By combining like terms, the equation simplifies to: 12y + 3 = 12y + ?
Notice that the variable 'y' cancels out on both sides. Now, we are left with a true statement: 3 = ?
Since the equation does not have a specific value on the right side, it can be any real number. As a result, the equation has infinitely many solutions.
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