# Solve for y 5/3+10/3y=3y-2 53+103y=3y-2
Combine 103 and y.
53+10y3=3y-2
Move all terms containing y to the left side of the equation.
Subtract 3y from both sides of the equation.
53+10y3-3y=-2
To write -3y as a fraction with a common denominator, multiply by 33.
53+10y3-3y⋅33=-2
Combine -3y and 33.
53+10y3+-3y⋅33=-2
Combine the numerators over the common denominator.
53+10y-3y⋅33=-2
Combine the numerators over the common denominator.
5+10y-3y⋅33=-2
Simplify the numerator.
Multiply 3 by -3.
5+10y-9y3=-2
Subtract 9y from 10y.
5+y3=-2
5+y3=-2
5+y3=-2
Multiply both sides of the equation by 3.
3⋅5+y3=3⋅-2
Simplify both sides of the equation.
Cancel the common factor of 3.
Cancel the common factor.
3⋅5+y3=3⋅-2
Rewrite the expression.
5+y=3⋅-2
5+y=3⋅-2
Multiply 3 by -2.
5+y=-6
5+y=-6
Move all terms not containing y to the right side of the equation.
Subtract 5 from both sides of the equation.
y=-6-5
Subtract 5 from -6.
y=-11
y=-11
Solve for y 5/3+10/3y=3y-2

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