what is the solution to -5(y+3)<_20

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To find the solution to the inequality -5(y + 3) ≤ 20, we can start by solving it step by step:

1. Distribute the -5 across the parentheses: -5y - 15 ≤ 20
This becomes -5y - 15 ≤ 20

2. Add 15 to both sides of the inequality: -5y - 15 + 15 ≤ 20 + 15
This simplifies to -5y ≤ 35

3. Divide both sides of the inequality by -5. Remember that when you divide or multiply by a negative number, the direction of the inequality sign changes: (-1)(-5)y ≥ 35(-1)
This becomes y ≥ -7

Thus, the solution to the inequality -5(y + 3) ≤ 20 is y ≥ -7.