To solve the equation, we need to isolate the variable y on one side of the equation.
First, let's combine the like terms on both sides:
-6y + 5 = 29y - 2
To move the terms with y to one side, we can subtract 29y from both sides:
-6y - 29y + 5 = -2
Combining like terms on the left side, we have:
-35y + 5 = -2
Next, let's isolate the variable y. We can do this by subtracting 5 from both sides:
-35y + 5 - 5 = -2 - 5
Simplifying, we get:
-35y = -7
To solve for y, we can divide both sides of the equation by -35:
(-35y)/-35 = -7/-35
The -35's cancel out on the left side, giving us:
y = 1/5
Now, let's check our solution. We substitute y = 1/5 back into the original equation:
-6(1/5) + 5 = 29(1/5) - 2
Simplifying, we get:
-6/5 + 5 = 29/5 - 2
Common denominators are needed, so let's multiply the fractions by 5 to get rid of the denominators:
(-6/5)(5) + (5)(5) = (29/5)(5) - (2)(5)
Simplifying further:
-6 + 25 = 29 - 10
19 = 19
The equation is true when y = 1/5, which means our solution is correct.
Solve the equation. Check your solution.
-6y + 5 = 29y - 2
1 answer