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2\times 7y+60=5\times 3y
Multiply both sides of the equation by 20, the least common multiple of 10,4.
14y+60=5\times 3y
Multiply 2 and 7 to get 14.
14y+60=15y
Multiply 5 and 3 to get 15.
14y+60-15y=0
Subtract 15y from both sides.
-y+60=0
Combine 14y and -15y to get -y.
-y=-60
Subtract 60 from both sides. Anything subtracted from zero gives its negation.
y=60
Multiply both sides by -1.