Solve for y: 3y + 9 = 2y + 21.

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Multiple Choice

Solve for y: 3y + 9 = 2y + 21.

Explanation:
You're solving a linear equation by isolating the variable. Start by getting all the y terms on one side and constants on the other. Subtract 2y from both sides to remove the y term from the right: you get y + 9 = 21. Now isolate y by removing the constant on the left; subtract 9 from both sides: y = 12. To check, substitute y = 12: 3(12) + 9 = 36 + 9 = 45 and 2(12) + 21 = 24 + 21 = 45. Both sides match, so the solution y = 12 is correct.

You're solving a linear equation by isolating the variable. Start by getting all the y terms on one side and constants on the other. Subtract 2y from both sides to remove the y term from the right: you get y + 9 = 21. Now isolate y by removing the constant on the left; subtract 9 from both sides: y = 12. To check, substitute y = 12: 3(12) + 9 = 36 + 9 = 45 and 2(12) + 21 = 24 + 21 = 45. Both sides match, so the solution y = 12 is correct.

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