Final Answer:
The solution to the equation 4(4y - 7) + 3y = 24 is y = 5.
Step-by-step explanation:
To solve for y, we'll begin by distributing the 4 on the left side of the equation. This gives us
16y - 28 + 3y = 24
Combining like terms, we get:
19y - 28 = 24
Next, we isolate the term with y by adding 28 to both sides, resulting in:
19y = 52.
Finally, we solve for y by dividing both sides by 19, giving us the solution y = 5.
In the given equation, 4(4y - 7) + 3y = 24, the distributive property is applied to eliminate the parentheses.
The resulting expression is then simplified by combining like terms, bringing us closer to the solution. By isolating the term with the variable on one side of the equation, we can easily solve for y.
The step-by-step process ensures a systematic approach to finding the solution, and in this case, y is determined to be 5.
Understanding algebraic equations involves breaking down complex expressions into simpler forms through various mathematical operations.
In this particular equation, the systematic application of these operations leads to the solution. This methodical approach ensures clarity and accuracy in finding the value of the variable, y, making it a fundamental process in algebraic problem-solving.