Answer:
y = 26
Explanation:
The angles of a linear pair total 180°.
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(2y +1)° +(5y -3)° = 180° . . . . the sum of the angles is 180°
7y -2 = 180 . . . . . . divide by °, collect terms
7y = 182 . . . . . . . . add 2
y = 26 . . . . . . . . . divide by 7
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Additional comment
The angle measures are (2(26) +1)° = 53°, and (5(26) -3)° = 127°. These total 180°, as they should.