Final answer:
The equation to solve is -6y-15=-51-2y. Undertaking a step-by-step solution involving combining like terms and isolating 'y' gives us the solution that y = 9, thus the solution set is {9}.
Step-by-step explanation:
To solve the equation -6y-15=-51-2y, first, you need to combine like terms. This means you need to get all the 'y' terms on one side of the equation and the constant terms on the other side. So, add 2y to both sides of the equation:
-6y + 2y - 15 = -51 + 2y + 2y
This simplifies to:
-4y - 15 = -51
Next, add 15 to both sides of the equation:
-4y = -36
Finally, divide both sides by -4 to solve for 'y':
y = 9
The solution set is {9}.
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