-5y - 9 = -(y - 1)
First, simplify your brackets. / Your problem should look like: [tex]-5y - 9 = -y + 1[/tex]
Second, regroup the terms. / Your problem should look like: [tex]-5y - 9 = 1 - y[/tex]
Third, add 5y to both sides. / Your problem should look like: [tex]-9 = 1 - y + 5y[/tex]
Fourth, simplify 1 - y + 5y to 1 + 4y. / Your problem should look like: [tex]-9 = 1 + 4y[/tex]
Fifth, subtract 1 from both sides. / Your problem should look like: [tex]-9 - 1 = 4y[/tex]
Sixth, subtract -9 - 1 to get -10. / Your problem should look like: [tex]-10 = 4y[/tex]
Seventh, divide both sides by 4. / Your problem should look like: [tex] -\frac{10}{4} = y[/tex]
Eighth, simplify [tex] \frac{10}{4} [/tex] to [tex] \frac{5}{2} [/tex] / Your problem should look like: [tex]- \frac{5}{2} = y[/tex]
Ninth, switch your sides. / Your problem should look like: [tex]y = -\frac{5}{2} [/tex]
Answer: y = [tex] -\frac{5}{2} [/tex]
Answer as decimal: y = -2.5
