To solve the inequality 2y + 6 > 62 - 5y, we can:
1. Add 5y to both sides to get rid of the -5y term:
2y + 5y + 6 > 62
Simplifying the left side, we have:
7y + 6 > 62
2. Subtract 6 from both sides to isolate the variable y:
7y + 6 - 6 > 62 - 6
Simplifying further, we have:
7y > 56
3. Divide both sides of the inequality by 7:
7y/7 > 56/7
Simplifying once more, we have:
y > 8
Therefore, the solution to the inequality 2y + 6 > 62 - 5y is y > 8.
2y + 6 > 62 - 5y
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