Step-by-step explanation:
The given equation is
3(y + 5) = 2(25 - y)
If we apply the distributive property, we get:
3(y) + 3(5) = 2(25) - 2(y)
3y + 15 = 50 - 2y
Then, we can use the addition property of equality to get
3y + 15 + 2y = 50 - 2y + 2y
5y + 15 = 50
Then, the subtraction property of equality
5y + 15 - 15 = 50 - 15
5y = 35
Finally, use the division property of equality
5y/5 = 35/5
y = 7
Answer:
Therefore, the answers are
3(y+5)=2(25-y) ----> Given
3y +15=50-2y -----> distributive property
5y +15=50 ---------> addition property of equality
5y = 35 -------------> subtraction property of equality
y=7 ----------------> division property of equality