Answer:
[tex]\boxed {y = \frac{7}{6}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]y[/tex]:
[tex]5y + 4( -5 + 3y) = 1 - y[/tex]
-Use Distributive Property:
[tex]5y + 4( -5 + 3y) = 1 - y[/tex]
[tex]5y - 20 + 12y = 1 - y[/tex]
-Combine like terms:
[tex]5y - 20 + 12y = 1 - y[/tex]
[tex]17y - 20 = 1 - y[/tex]
-Take [tex]-y[/tex] and add it to [tex]17y[/tex]:
[tex]17y + y - 20 = 1 - y + y[/tex]
[tex]18y - 20 = 1[/tex]
-Add [tex]20[/tex] on both sides:
[tex]18y - 20 + 20 = 1 + 20[/tex]
[tex]18y = 21[/tex]
-Divide both sides by [tex]18[/tex]:
[tex]\frac{18y}{18} = \frac{21}{18}[/tex]
[tex]\boxed {y = \frac{7}{6}}[/tex]
Therefore, the value of [tex]y[/tex] is [tex]\frac{7}{6}[/tex].
