Solve for y: 2y - 4 = 3y + 6.

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Multiple Choice

Solve for y: 2y - 4 = 3y + 6.

Explanation:
When solving a linear equation, you keep the equality by performing the same operation on both sides and aim to isolate the variable. Start with 2y - 4 = 3y + 6. Subtract 2y from both sides to bring the y terms together: -4 = y + 6. Then subtract 6 from both sides to isolate y: -10 = y. So y equals -10. Quick check: substitute back, 2(-10) - 4 = -24 and 3(-10) + 6 = -24, which match, confirming the solution.

When solving a linear equation, you keep the equality by performing the same operation on both sides and aim to isolate the variable. Start with 2y - 4 = 3y + 6. Subtract 2y from both sides to bring the y terms together: -4 = y + 6. Then subtract 6 from both sides to isolate y: -10 = y. So y equals -10. Quick check: substitute back, 2(-10) - 4 = -24 and 3(-10) + 6 = -24, which match, confirming the solution.

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