What is (4x-2y)-(2x-6y) ?

The solution to (4x-2y)-(2x-6y) is 2x+4y

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simplify (4x-2y)-(2x-6y)

simplify

(4 x - 2 y) - (2 x - 6 y)

2 x + 4 y

Solution steps

(4 x - 2 y) - (2 x - 6 y)

Apply rule:

(a) = a

(4 x - 2 y) = 4 x - 2 y

= 4 x - 2 y - (2 x - 6 y)

Apply the distributive law:

- (a - b) = - a + b

- (2 x - 6 y) = - 2 x + 6 y

= 4 x - 2 y - 2 x + 6 y

Group like terms

= 4 x - 2 x - 2 y + 6 y

Add similar elements:

4 x - 2 x = 2 x

= 2 x - 2 y + 6 y

Add similar elements:

- 2 y + 6 y = 4 y

= 2 x + 4 y

2 x \leq - 6

3 ∣ x ∣ - 5 = 2 x

144 + 25

∣ x - 13 ∣ < 18

3 x (x + 1) = - 2