Question

Solve the equation -2y+4=8y-6

Answer 1

Hey there!

ANSWER: $y=1$

EXPLANATION:

$-2y+4=8y-6$

To solve, we will need to subtract 8y from both sides of the equation.

$-2y+4-8y=8y-6-8y\\\text{Equals:}-10y+4=-6$

Now we have to subtract 4 from both sides of the equation.

$-10y+4-4=-6-4\\\text{Equals:}-10y=-10$

In our last step, we have to divide both sides by -6.

$\frac{-10y}{-10} =\frac{-10}{-10}\\ \text{Equals:}y=1$

Hope this helps!

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Answer 2

Answer:

y = 1

Step-by-step explanation:

-2y + 4 = 8y - 6

First, add 2y to both sides to cancel out the letter variable.

4 = 10y - 6

Second, add 6 to both sides to cancel out the number variable.

10 = 10y

Finally, divide both sides by 10

y = 1

Tip: Be sure to always keep the letter on the left side of the answer.