0 5y-1-(2y+4)=y

less than a minute read Jun 17, 2024
0 5y-1-(2y+4)=y

Solving the Equation: 0.5y - 1 - (2y + 4) = y

This article will guide you through solving the equation 0.5y - 1 - (2y + 4) = y. We will break down each step to ensure clear understanding.

Step 1: Simplify the equation

Begin by simplifying the left side of the equation by removing the parentheses and combining like terms.

  • 0.5y - 1 - (2y + 4) = y
  • 0.5y - 1 - 2y - 4 = y
  • -1.5y - 5 = y

Step 2: Isolate the variable

The goal is to get all the terms with 'y' on one side of the equation and the constant terms on the other side.

  • -1.5y - 5 = y
  • -1.5y - y = 5
  • -2.5y = 5

Step 3: Solve for 'y'

Divide both sides of the equation by -2.5 to isolate 'y'.

  • -2.5y = 5
  • y = 5 / -2.5
  • y = -2

Solution

Therefore, the solution to the equation 0.5y - 1 - (2y + 4) = y is y = -2.

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