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y=27

Step-by-step explanation:

Hello There!

The shown angles are alternate exterior angles

Alternate exterior angles are congruent so

3y+53=7y-55

step 1 add 55 to each side

-55+55 cancels out

53+55=108

now we have

3y+108=7y

step 2 subtract 3y from each side

7y-3y=4y

now we have

4y=108

step 3 divide each side by 4

4/4y=y

108/4=27

we're left with y = 27

y = 27

Step-by-step explanation:

The two lines cut by a transversal are parallel, so alternate exterior angles are congruent.

7y - 55 = 3y + 53

4y = 108

y = 27

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