Solve for y: 2y - 3 = 4y + 9.

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Multiple Choice

Solve for y: 2y - 3 = 4y + 9.

Explanation:
To solve this, focus on isolating the variable by gathering the y terms on one side and the constants on the other. Start with 2y - 3 = 4y + 9. Subtract 2y from both sides to get -3 = 2y + 9. Then subtract 9 from both sides to isolate the y term: -12 = 2y. Divide both sides by 2 to solve for y: y = -6. This value makes both sides equal: 2(-6) - 3 = -12 - 3 = -15 and 4(-6) + 9 = -24 + 9 = -15, so the equality holds.

To solve this, focus on isolating the variable by gathering the y terms on one side and the constants on the other. Start with 2y - 3 = 4y + 9. Subtract 2y from both sides to get -3 = 2y + 9. Then subtract 9 from both sides to isolate the y term: -12 = 2y. Divide both sides by 2 to solve for y: y = -6. This value makes both sides equal: 2(-6) - 3 = -12 - 3 = -15 and 4(-6) + 9 = -24 + 9 = -15, so the equality holds.

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