How do you evaluate 3y - 4+ y + 20= 8+ 7y + 12- 5y?

1 Answer
Jul 10, 2017

y=2

Explanation:

Identify like terms

\color(indianred)(3y)\color(seagreen)(-4)\color(indianred)(+y)\color(seagreen)(+20)=\color(seagreen)(8)\color(indianred)(+7y)\color(seagreen)(+12)\color(indianred)(-5y)

Simplify both sides by adding like terms

  • \color(indianred)(3y+y)\color(seagreen)(-4+20)=\color(seagreen)(8+12)\color(indianred)(+7y-5y)
  • \color(indianred)(4y)\color(seagreen)(+16)=\color(seagreen)(20)\color(indianred)(+2y)

Reorganize so that like terms are alone on each side

  • \color(indianred)(4y-2y)=\color(seagreen)(20-16)
  • \color(indianred)(2y)=\color(seagreen)(4)

Divide to finish evaluation
y=\color(seagreen)(4)/\color(indianred)(2)=2