Question

Solving a Multistep Equation with Fractions
Complete the work to solve for y:
2
5
(
1
2
y + 5 ) −
4
5
=
1
2
y − 1 +
1
10
y
1.Distributive property:
1
5
y + 2 −
4
5
=
1
2
y − 1 +
1
10
y
2.Combine like terms:
1
5
y +
6
5
=
3
5
y − 1
3.Subtraction property of equality:
6
5
=
2
5
y − 1
Addition property of equality:
11
5
=
2
5
y
4.Division property of equality:
What is the value for y?

Answer 1

Divide both sides by 2/5:

y = (11/5) ÷ (2/5) = (11/5)·(5/2) = 11/2.

So y = 11/2 (or 5.5).