Home › NY Regents Algebra I › Mathematics › Solving Linear Equations and Inequalities › Solve: 14 - 23 = 12y - 4y - 5y.
Solve: 14 - 23 = 12y - 4y - 5y.
Ay = 3
By = -27
Cy = -3
Dy = 27
Answer & Solution
Correct answer: C. y = -3
1. Simplify the left side: 14 minus 23 equals -9.
2. Simplify the right side by combining like terms: 12y minus 4y minus 5y equals 3y.
3. The equation is now -9 equals 3y.
4. Divide both sides by 3 to get y equals -3, and checking confirms 12(-3) - 4(-3) - 5(-3) equals -9.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.2 Solve Equations using the Division and Multiplication Properties of Equality_
Related questions
Solve for x: 7 = (1/2)x + (3/4)x - (2/3)x.Classify the equation 12c + 5(5 + 3c) = 3(9c - 4) and state its solution.Solve for x: 2.8x + 12 = -1.4x - 9.Solve for q: 8q - 5 = -4q + 7.Solve for x: 3x + 4 = -8.A gardener planted 14 flats of flowers, filling 2/3 of a garden. How many flats would fillThe annual property tax on a house is $1,800, calculated as 15/1000 of the assessed value.Solve for r: 0.04r = 52.60.