4y3+2(3-y)=5

Apply the distributive property.

4y3+2⋅3+2(-y)=5

Multiply 2 by 3.

4y3+6+2(-y)=5

Multiply -1 by 2.

4y3+6-2y=5

To write -2y as a fraction with a common denominator, multiply by 33.

4y3-2y⋅33+6=5

Combine -2y and 33.

4y3+-2y⋅33+6=5

Combine the numerators over the common denominator.

4y-2y⋅33+6=5

To write 6 as a fraction with a common denominator, multiply by 33.

4y-2y⋅33+6⋅33=5

Combine 6 and 33.

4y-2y⋅33+6⋅33=5

Combine the numerators over the common denominator.

4y-2y⋅3+6⋅33=5

Reorder terms.

-2⋅(3y)+4y+3⋅63=5

Rewrite -2⋅3y+4y+3⋅63 in a factored form.

Multiply -2 by 3.

-6y+4y+3⋅63=5

Multiply 3 by 6.

-6y+4y+183=5

Add -6y and 4y.

-2y+183=5

Factor 2 out of -2y+18.

Factor 2 out of -2y.

2(-y)+183=5

Factor 2 out of 18.

2(-y)+2(9)3=5

Factor 2 out of 2(-y)+2(9).

2(-y+9)3=5

2(-y+9)3=5

2(-y+9)3=5

2(-y+9)3=5

Multiply both sides of the equation by 3.

2(-y+9)=5⋅(3)

Simplify 2(-y+9).

Apply the distributive property.

2(-y)+2⋅9=5⋅(3)

Multiply.

Multiply -1 by 2.

-2y+2⋅9=5⋅(3)

Multiply 2 by 9.

-2y+18=5⋅(3)

-2y+18=5⋅(3)

-2y+18=5⋅(3)

Multiply 5 by 3.

-2y+18=15

Move all terms not containing y to the right side of the equation.

Subtract 18 from both sides of the equation.

-2y=15-18

Subtract 18 from 15.

-2y=-3

-2y=-3

Divide each term by -2 and simplify.

Divide each term in -2y=-3 by -2.

-2y-2=-3-2

Cancel the common factor of -2.

Cancel the common factor.

-2y-2=-3-2

Divide y by 1.

y=-3-2

y=-3-2

Dividing two negative values results in a positive value.

y=32

y=32

y=32

The result can be shown in multiple forms.

Exact Form:

y=32

Decimal Form:

y=1.5

Mixed Number Form:

y=112

Solve for y (4y)/3+2(3-y)=5