Answer: [tex]y = -3[/tex]
Move all terms containing y to the left, all other terms to the right
Add -14y to each side of the equation
[tex]-20 + 5y + -14y = 7 + 14y + -14y[/tex]
Combine like terms: 5y + -14y = -9y
[tex]-20 + -9y = 7 + 14y + -14y[/tex]
Combine like terms: 14y + -14y = 0
[tex]-20 + -9y = 7 + 0\\-20 + -9y = 7[/tex]
Add '20' to each side of the equation
[tex]-20 + 20 + -9y = 7 + 20[/tex]
Combine like terms: -20 + 20 = 0
[tex]0 + -9y = 7 + 20\\-9y = 7 + 20[/tex]
Combine like terms: 7 + 20 = 27
[tex]-9y = 27[/tex]
Divide each side by -9
[tex]-9y/9=27/-9\\y=-3[/tex]