Question

Solve 5(2y+1)=4y+10. this is for algebra 1

Answer 1

Answer:

$y=5/6\approx0.83$

Step-by-step explanation:

So we have the equation:

$5(2y+1)=4y+10$

First, let's distribute the left side of our equation:

$5(2y)+5(1)=4y+10$

Multiply:

$10y+5=4y+10$

Now, let's isolate the y-variable. Subtract 4y from both sides:

$(10y+5)-4y=(4y+10)-4y$

The right side cancels. Subtract on the left. So:

$6y+5=10$

Now, subtract 5 from both sides:

$(6y+5)-5=(10)-5$

The left side cancels. Subtract on the right:

$6y=5$

Now, divide both sides by 6. So:

$\frac{6y}{6}=\frac{5}{6}$

The left will cancel. Therefore:

$y=5/6\approx0.83$

And we're done!

Answer 2

5(2y+1)=4y+10(multiply 5 to 2y and 1)
10y+5=4y+10(subtract 5 from 5 and 10)
10y=4y+5(subtract 4y from 4y and 10y)
6y=5(divide 6 by 6y and 5)
y=0.83