Question

solve for y
4y - 7 + 5y - 6 = 23

a) y = -4
b) y = 4
c) y = 9
d) y = 7

Explanation:

Step1: Combine like terms

Combine the \( y \)-terms and the constant terms: \( 4y + 5y - 7 - 6 = 23 \), which simplifies to \( 9y - 13 = 23 \).

Step2: Add 13 to both sides

Add 13 to each side of the equation: \( 9y - 13 + 13 = 23 + 13 \), so \( 9y = 36 \).

Step3: Divide by 9

Divide both sides by 9: \( \frac{9y}{9} = \frac{36}{9} \), which gives \( y = 4 \).

Answer:

B) \( y = 4 \)