Question

What value of y makes this equation true? −8y−14+8=−2y+18+6y
y=

Answer 1

The value of y that satisfies the equation −8y−14+8=−2y+18+6y is -2, found by combining like terms, rearranging the equation, and dividing by the coefficient of y.

Step-by-step explanation:

To find the value of y that makes the equation −8y−14+8=−2y+18+6y true, let's simplify and solve it step-by-step:

1. Combine like terms on both sides of the equation:
2. -8y + (-14 + 8) = -2y + (18 + 6y)
3. -8y - 6 = 4y + 18
4. Bring all terms with y to one side and constant terms to the other side:
5. -8y - 4y = 18 + 6
6. -12y = 24
7. Divide both sides by -12 to get the value of y:
8. y = 24 / -12
9. y = -2