Solve for y: 2y − 4 = 3y + 6.

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Multiple Choice

Solve for y: 2y − 4 = 3y + 6.

Explanation:
Solving a linear equation by isolating the variable on one side. For 2y − 4 = 3y + 6, move the y terms to one side and the constants to the other. Subtract 2y from both sides to gather y on the right: −4 = y + 6. Then subtract 6 from both sides: −10 = y, so y = −10. Check by substitution: substitute −10 for y, giving 2(−10) − 4 = −20 − 4 = −24 and 3(−10) + 6 = −30 + 6 = −24. Both sides match, confirming the solution.

Solving a linear equation by isolating the variable on one side. For 2y − 4 = 3y + 6, move the y terms to one side and the constants to the other. Subtract 2y from both sides to gather y on the right: −4 = y + 6. Then subtract 6 from both sides: −10 = y, so y = −10.

Check by substitution: substitute −10 for y, giving 2(−10) − 4 = −20 − 4 = −24 and 3(−10) + 6 = −30 + 6 = −24. Both sides match, confirming the solution.

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