Question

encuentra el valor de la incógnita de la siguiente ecuación:-9y+7-12y=4y-13-5y
​

Answer 1

y = 7.333333333

Explicación paso a paso:

Simplifying

4y + -13 + -5y = 8y + 9 + -12y

Reorder the terms:

-13 + 4y + -5y = 8y + 9 + -12y

Combine like terms: 4y + -5y = -1y

-13 + -1y = 8y + 9 + -12y

Reorder the terms:

-13 + -1y = 9 + 8y + -12y

Combine like terms: 8y + -12y = -4y

-13 + -1y = 9 + -4y

Solving

-13 + -1y = 9 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.

-13 + -1y + 4y = 9 + -4y + 4y

Combine like terms: -1y + 4y = 3y

-13 + 3y = 9 + -4y + 4y

Combine like terms: -4y + 4y = 0

-13 + 3y = 9 + 0

-13 + 3y = 9

Add '13' to each side of the equation.

-13 + 13 + 3y = 9 + 13

Combine like terms: -13 + 13 = 0

0 + 3y = 9 + 13

3y = 9 + 13

Combine like terms: 9 + 13 = 22

3y = 22

Divide each side by '3'.

y = 7.333333333

Simplifying

y = 7.333333333