Elementary Technical Mathematics

by Nelson, Robert; Eren, Dale;

Published by Brooks Cole

ISBN 10: 1285199197

ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.2 - Equations with Variables in Both Members - Exercises - Page 240: 28

Answer

y = 0.6666666667

Work Step by Step

Simplifying 6y + 7 = 18y + -1 Reorder the terms: 7 + 6y = 18y + -1 Reorder the terms: 7 + 6y = -1 + 18y Solving 7 + 6y = -1 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 7 + 6y + -18y = -1 + 18y + -18y Combine like terms: 6y + -18y = -12y 7 + -12y = -1 + 18y + -18y Combine like terms: 18y + -18y = 0 7 + -12y = -1 + 0 7 + -12y = -1 Add '-7' to each side of the equation. 7 + -7 + -12y = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -12y = -1 + -7 -12y = -1 + -7 Combine like terms: -1 + -7 = -8 -12y = -8 Divide each side by '-12'. y = 0.6666666667 Simplifying y = 0.6666666667

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