Simplify 5(3a-2y)+7(4a+5y) - eMath

Math

$5 (3 a - 2 y) + 7 (4 a + 5 y)$

Simplify each term.

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Apply the distributive property.

$5 (3 a) + 5 (- 2 y) + 7 (4 a + 5 y)$

Multiply $3$ by $5$ .

$15 a + 5 (- 2 y) + 7 (4 a + 5 y)$

Multiply $- 2$ by $5$ .

$15 a - 10 y + 7 (4 a + 5 y)$

Apply the distributive property.

$15 a - 10 y + 7 (4 a) + 7 (5 y)$

Multiply $4$ by $7$ .

$15 a - 10 y + 28 a + 7 (5 y)$

Multiply $5$ by $7$ .

$15 a - 10 y + 28 a + 35 y$

$15 a - 10 y + 28 a + 35 y$

Simplify by adding terms.

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Add $15 a$ and $28 a$ .

$43 a - 10 y + 35 y$

Add $- 10 y$ and $35 y$ .

$43 a + 25 y$

$43 a + 25 y$

Simplify 5(3a-2y)+7(4a+5y)