The values for a and b that make the equality true, let's simplify the equation and solve the system of equations obtained by grouping the terms. The values for a and b that make the equality true are a = -2 and b = 8.
The corrected equation is -
.
To find the values for a and b that make the equality true, let's simplify the equation:

Distribute the -2y on the left side:

Now, let's group the terms:

For the equality to hold true, the coefficients of corresponding powers of y on both sides must be equal. This gives us a system of equations:
Coefficients of

Coefficients of

Solving these two equations will give us the values for a and b:
a + 12 = 10 ⟶ a = -2
a + b = 6 ⟶ -2 + b = 6 ⟶ b = 8
Therefore, the values for a and b that make the equality true are
a = -2 and b = 8.