How do we solve the equation 6y + 2y + 1 – 3y + 2 = 6?

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To solve the equation 6y + 2y + 1 – 3y + 2 = 6, we will first combine like terms and simplify the equation step by step.

Step 1: Combine Like Terms
In the given equation, we can first combine the coefficients of y:

  • 6y + 2y – 3y = (6 + 2 – 3)y = 5y

Next, combine the constant terms:

  • 1 + 2 = 3

So now the equation simplifies to:

  • 5y + 3 = 6

Step 2: Isolate the Variable
To isolate y, we will subtract 3 from both sides of the equation:

  • 5y + 3 – 3 = 6 – 3
  • 5y = 3

Step 3: Solve for y
Now, divide both sides by 5:

  • y = 3/5

Thus, the solution to the equation 6y + 2y + 1 – 3y + 2 = 6 is:

  • y = 0.6

This means that when y is equal to 0.6, the equation holds true. As you can see, solving equations involves systematically simplifying and isolating the variable to find its value!

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