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4\left(4\times 19+14\right)=57y-57
Multiply both sides of the equation by 19.
4\left(76+14\right)=57y-57
Multiply 4 and 19 to get 76.
4\times 90=57y-57
Add 76 and 14 to get 90.
360=57y-57
Multiply 4 and 90 to get 360.
57y-57=360
Swap sides so that all variable terms are on the left hand side.
57y=360+57
Add 57 to both sides.
57y=417
Add 360 and 57 to get 417.
y=\frac{417}{57}
Divide both sides by 57.
y=\frac{139}{19}
Reduce the fraction \frac{417}{57} to lowest terms by extracting and canceling out 3.