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16 votes
How do I solve this equation?
4-y/5=2-2y/8

User JGWeissman
by
3.9k points

2 Answers

0 votes

Answer:

y= -40

Explanation:

4 - y/5 = 2 - 2y/8

4 - y/5 = 2 - y/4

4 x 20 - y x 20/5 = 2 x 20 - y x 20/4 (reduce the fractions)

4 x 20 - 4y = 2 x 20 - 5y

80 - 4y = 2 x 20 - 5y

80 - 4y = 40 - 5y

-4y + 5y = 40 - 80

y = 40 - 80

y = - 40

User Antonio Petricca
by
3.4k points
5 votes

y=40

Explanation:

Step 1: Simplify both sides of the equation.

4−y5=2−2y8

4+−15y=2+−14y

−15y+4=−14y+2

Step 2: Add 1/4y to both sides.

−15y+4+14y=−14y+2+14y

120y+4=2

Step 3: Subtract 4 from both sides.

120y+4−4=2−4

120y=−2

Step 4: Multiply both sides by 20.

20*(120y)=(20)*(−2)

Answer:

y=−40

User Mateo Sanchez
by
3.7k points