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Solve for y: 8y - 4 - 7y - 7 = 4.
Ay = -15
By = 7
Cy = 15
Dy = -7
Answer & Solution
Correct answer: C. y = 15
1. Simplify the left side first by combining like terms.
2. Combine the variable terms: 8y - 7y = y.
3. Combine the constants: -4 - 7 = -11, so the equation becomes y - 11 = 4.
4. Add 11 to both sides: y = 15.
5. Check: 8(15) - 4 - 7(15) - 7 = 120 - 4 - 105 - 7 = 4, so y = 15 works, while y = -7 comes from combining -4 - 7 as +11.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality_
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