What is the English equivalent of "get (something's) eye blind"?

To 'turn a blind eye to' looks similar in form, but doesn't work here, meaning to deliberately overlook a wrongdoing.

To put [something] out of [one's] mind is a transparent metaphor and is often[*] used for a deliberate choice to stop thinking about something unpleasant or out of reach at the moment.

Not to be confused with '[being] out of one's mind'!

Examples, courtesy of Ludwig.guru:

Then we put it out of our minds. The New York Times

I tried to put it out of my mind. Forbes

"You try to put it out of your mind," said Ms. Davis's sister Crystal. The New York Times

The oil boom ended all that and put it out of mind. The New Yorker [*non-volitional]

Unfortunately, no seats became available, so I put it out of my mind. The New York Times

I put it out of my mind and didn't think about it until a month later. The New Yorker

A lot of it is just trying to put it out of your mind and maybe it'll disappear. The New York Times

and a variant: As to the passive-aggressive nonsense of the anonymous note, try to put it out of your head. The New York Times

As the penultimate example shows, there is a [possible?] association with denial.

More general, but equally usable would be the simple "Life's hard" or "life sucks" or "X sucks" e.g. poverty sucks.

An expression in U.S. English that may capture the sense of the phrase "get [something's] eye blind" in Turkish is "grin and bear it." Here is the entry for that expression in Christine Ammer, The Facts on File Dictionary of Clichés, second edition (2006):

grin and bear it Put up with adversity with good humor. This expression originated as grin and abide. It so appears in Erasmus Darwin's Zoonomia (1794), "WE have a proverb where no help could be had in pain, 'to grin and abide,'" so it presumably was a well-known saying by then. A few years earlier W. Hickey wrote in his Memoirs (1775), "I recommend you to grin and bear it (an expression used by sailors after a long continuance of bad weather)." It has been a cliché for about a hundred years, well known enough for poet Sam Walter Foss (1858–1911) to pun on it in his The Firm of Grin and Barrett ("Never yet has any panic scared the firm of Grin and Barrett").

I might add to Ammer's commentary that a long-running (1930–2015) newspaper cartoon by George Lichtenstein bore the name "Grin and Bear It," which is where I first encountered the expression. Although Ammer calls "grin and bear it" a cliché in the book cited above, she might just as well have characterized it as an idiom—and in fact she does exactly that in Christine Ammer, The American Heritage Dictionary of Idioms, second edition (2013):

grin and bear it Put up good-humoredly with adversity, with good humor, as in It;s no fun being sick for the holidays, but you might as well grin and bear it. ...