Chapter 5 - Section 5.6 - Solving Equations Containing Decimals - Exercise Set - Page 388: 63

y= 5.85

2.6y + 8.3 =4.6y -3.4 Subtract 8.3 from both sides 2.6y + 8.3 -8.3=4.6y -3.4-8.3 Simplify 2.6y = 4.6y -11.7 Subtract 4.6y from both sides 2.6y -4.6y = 4.6y -11.7-4.6y -2y = -11.7 $\frac{-2y}{-2}$=$\frac{-11.7}{-2}$ y= 5.85 Check Replace y with 5.85 2.6y + 8.3 =4.6y -3.4 2.6$\times$5.85 + 8.3 =4.6$\times$5.85 -3.4 15.21+8.3=26.91-3.4 23.51=23.51