How do you solve the equation - 3 (4y-7) - y=-2 (y-2) and check

y = 17 / 11

Explanation:

Equation: - 3 (4y-7) - y=-2 (y-2)

Directions: Solve for 'y' and check

Step 1: Simplify both sides of the equation

-3 (4y-7) - y=-2 (y-2)

(-3) (4y) + (-3) (-7) + -y = (-2) (y) + (-2) (-2) (Distribute)

-12y+21+-y=-2y+4

(-12y+-y) + (21) = -2y+4 (Combine Like Terms)

-13y+21=-2y+4

-13y+21=-2y+4

Step 2: Add 2y to both sides

-13y+21+2y=-2y+4+2y

-11y+21=4

Step 3: Subtract 21 from both sides

-11y+21-21=4-21

-11y=-17

Step 4: Divide both sides by - 11

-11y/-11=-17/-11

y = 17 / 11

Check:

-3 (4·17/11-7) - 17/11=-2 (17/11-2)

-3 (4·17/11-7) - 17/11 = 10/11

-2 (17/11-2) = 10/11

10/11 = 10/11

In this question, you're solving for y:

Solve for y:

-3 (4y - 7) - y = - 2 (y - 2)

use the distributive property:

-12y + 21 - y = - 2y + 4

combine like terms:

-13y + 21 = - 2y + 4

add 2 to both sides

-11y + 21 = 4

subtract 21 from both sides

-11y = - 17

divide both sides by - 11

y = 17/11

You would check your answer by plugging in 17/11 to the y variables.