Final answer:
To solve for y in the equation -5y + 23 = -3(y - 7), distribute the -3, combine like terms, and isolate y. The simplified form of the equation is -2y = -2, and the solution is y = 1.
Step-by-step explanation:
To solve for y in the equation -5y + 23 = -3(y - 7), we need to simplify and isolate y.
Start by distributing the -3 on the right side: -5y + 23 = -3y + 21.
Next, combine like terms by subtracting -3y from both sides: -5y + 3y + 23 = 21.
This simplifies to: -2y + 23 = 21.
Finally, isolate y by subtracting 23 from both sides: -2y + 23 - 23 = 21 - 23.
Which yields the simplified form: -2y = -2.
Therefore, y = 1.