Question

What is the solution to the linear equation?
2.8y + 6 + 0.2y = 5y – 14

Answer 1

y= 11

Explanation:

we have:

2.8y + 6 + 0.2y = 5y – 14

or 3y + 6 = 5y -14

and 3y + 6 - 6 = 5y -16 -6

and 3y = 5y -22

and 3y - 5y = -5y +5y -22

so -2y = -22

finally y = -22/-2

or y=11

Hope that useful for you.

Answer 2

y = 10

Explanation:

Simplifying

2.8y + 6 + 0.2y = 5y + -14

Reorder the terms:

6 + 2.8y + 0.2y = 5y + -14

Combine like terms: 2.8y + 0.2y = 3y

6 + 3y = 5y + -14

Reorder the terms:

6 + 3y = -14 + 5y

Solving

6 + 3y = -14 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.

6 + 3y + -5y = -14 + 5y + -5y

Combine like terms: 3y + -5y = -2y

6 + -2y = -14 + 5y + -5y

Combine like terms: 5y + -5y = 0

6 + -2y = -14 + 0

6 + -2y = -14

Add '-6' to each side of the equation.

6 + -6 + -2y = -14 + -6

Combine like terms: 6 + -6 = 0

0 + -2y = -14 + -6

-2y = -14 + -6

Combine like terms: -14 + -6 = -20

-2y = -20

Divide each side by '-2'.

y = 10

Simplifying

y = 10