Enter the value for y that makes the equation 3y – 5y – (2y – 6) = 8y – 2(9y – 6) true.

y = 1

Step-by-step explanation:

So to find the value of y that makes the equation true we have to calculate the value of y.

3y - 5y - (2y - 6) = 8y - 2(9y - 6)

First we have distribute;

3y - 5y - 2y + 6 = 8y - 18y + 12

Collect like terms next;

-4y + 6 = -10y + 12

Add 10y to both sides

6y + 6 = 12

Subtract 6 from both sides

6y = 6

Divide both sides by 6

y = 1

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

the 3rd on is correct

step-by-step explanation: