Problem 89 - Algebra and Trigonometry

Question

Simplify each algebraic expression. $$7(3 y-5)+2(4 y+3)$$

Step-by-Step Solution

Answer

The simplified algebraic expression is \( 29y - 29 \)

Step 1: Apply the distributive property

Multiply each term inside the parentheses by the factor outside the parentheses: \( 7 \times 3y - 7 \times 5 + 2 \times 4y + 2 \times 3 \) which simplifies to \( 21y - 35 + 8y + 6 \)

Step 2: Combine like terms

The like terms in the expression are terms involving 'y', and numerical constants so we add together the 'y' terms, and the constant terms: \( 21y + 8y - 35 + 6 \) which simplifies to \( 29y - 29 \)