14⋅(3-17y2)-27y=-2

Simplify the numerator.

Combine y and 17.

14⋅3-y72-27y=-2

To write 3 as a fraction with a common denominator, multiply by 77.

14⋅3⋅77-y72-27y=-2

Combine 3 and 77.

14⋅3⋅77-y72-27y=-2

Combine the numerators over the common denominator.

14⋅3⋅7-y72-27y=-2

Multiply 3 by 7.

14⋅21-y72-27y=-2

14⋅21-y72-27y=-2

Multiply the numerator by the reciprocal of the denominator.

14⋅(21-y7⋅12)-27y=-2

Multiply 21-y7⋅12.

Multiply 21-y7 and 12.

14⋅21-y7⋅2-27y=-2

Multiply 7 by 2.

14⋅21-y14-27y=-2

14⋅21-y14-27y=-2

Multiply 14⋅21-y14.

Multiply 14 and 21-y14.

21-y4⋅14-27y=-2

Multiply 4 by 14.

21-y56-27y=-2

21-y56-27y=-2

Combine y and 27.

21-y56-y⋅27=-2

Move 2 to the left of y.

21-y56-2⋅y7=-2

Multiply 2 by y.

21-y56-2y7=-2

To write -2y7 as a fraction with a common denominator, multiply by 88.

21-y56-2y7⋅88=-2

Write each expression with a common denominator of 56, by multiplying each by an appropriate factor of 1.

Multiply 2y7 and 88.

21-y56-2y⋅87⋅8=-2

Multiply 7 by 8.

21-y56-2y⋅856=-2

21-y56-2y⋅856=-2

Combine the numerators over the common denominator.

21-y-2y⋅856=-2

Rewrite 21-y-2y⋅856 in a factored form.

Multiply 8 by -2.

21-y-16y56=-2

Subtract 16y from -y.

21-17y56=-2

21-17y56=-2

21-17y56=-2

Multiply both sides of the equation by 56.

21-17y=-2⋅56

Remove parentheses.

21-17y=-2⋅56

Multiply -2 by 56.

21-17y=-112

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

Subtract 21 from both sides of the equation.

-17y=-112-21

Subtract 21 from -112.

-17y=-133

-17y=-133

Divide each term by -17 and simplify.

Divide each term in -17y=-133 by -17.

-17y-17=-133-17

Cancel the common factor of -17.

Cancel the common factor.

-17y-17=-133-17

Divide y by 1.

y=-133-17

y=-133-17

Dividing two negative values results in a positive value.

y=13317

y=13317

y=13317

The result can be shown in multiple forms.

Exact Form:

y=13317

Decimal Form:

y=7.82352941…

Mixed Number Form:

y=71417

Solve for y 1/4*((3-1/7y)/2)-2/7y=-2