What is 5(7x-2y)-4(3y-2x) ?

The solution to 5(7x-2y)-4(3y-2x) is 43x-22y

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simplify 5(7x-2y)-4(3y-2x)

simplify

5 (7 x - 2 y) - 4 (3 y - 2 x)

43 x - 22 y

Solution steps

5 (7 x - 2 y) - 4 (3 y - 2 x)

Expand

5 (7 x - 2 y) : 35 x - 10 y

= 35 x - 10 y - 4 (3 y - 2 x)

Expand

- 4 (3 y - 2 x) : - 12 y + 8 x

= 35 x - 10 y - 12 y + 8 x

Add similar elements:

- 10 y - 12 y = - 22 y

= 35 x - 22 y + 8 x

Group like terms

= 35 x + 8 x - 22 y

Add similar elements:

35 x + 8 x = 43 x

= 43 x - 22 y

(36 x^{6} y^{8})^{\frac{1}{2}}

n^{2} + 8 n + 15

3 (6 + 5 r)

4 \frac{3}{10} - \frac{3}{5}

\frac{6 3}{2}