Question

Solve: 6(y-5) = 2(10 + 3y)

Answer 1

Simplifying
6[y + -5] = 2(10 + 3y)

Reorder the terms:
6[-5 + y] = 2(10 + 3y)
[-5 * 6 + y * 6] = 2(10 + 3y)
[-30 + 6y] = 2(10 + 3y)
-30 + 6y = (10 * 2 + 3y * 2)
-30 + 6y = (20 + 6y)

Add '-6y' to each side of the equation.
-30 + 6y + -6y = 20 + 6y + -6y

Combine like terms: 6y + -6y = 0
-30 + 0 = 20 + 6y + -6y
-30 = 20 + 6y + -6y

Combine like terms: 6y + -6y = 0
-30 = 20 + 0
-30 = 20

Solving
-30 = 20

Couldn't find a variable to solve for.

no solution

Answer 2

no solution

Explanation:

simplifying

6(y + -5) = 2(10 + 3y)

reorder the terms:

6(-5 + y) = 2(10 + 3y)

(-5 * 6 + y * 6) = 2(10 + 3y)

(-30 + 6y) = 2(10 + 3y)

-30 + 6y = (10 * 2 + 3y * 2)

-30 + 6y = (20 + 6y)

add '-6y' to each side of the equation.

-30 + 6y + -6y = 20 + 6y + -6y

combine like terms: 6y + -6y = 0

-30 + 0 = 20 + 6y + -6y

-30 = 20 + 6y + -6y

combine like terms: 6y + -6y = 0

-30 = 20 + 0

-30 = 20

solving for:

-30 = 20

the left and right sides are not equal, so there isn't any solution!