2(7-3(1-y))+9=-2+2(6(y+1)-3y)

Since y is on the right side of the equation, switch the sides so it is on the left side of the equation.

-2+2(6(y+1)-3y)=2(7-3(1-y))+9

Simplify each term.

Simplify each term.

Apply the distributive property.

-2+2(6y+6⋅1-3y)=2(7-3(1-y))+9

Multiply 6 by 1.

-2+2(6y+6-3y)=2(7-3(1-y))+9

-2+2(6y+6-3y)=2(7-3(1-y))+9

Subtract 3y from 6y.

-2+2(3y+6)=2(7-3(1-y))+9

Apply the distributive property.

-2+2(3y)+2⋅6=2(7-3(1-y))+9

Multiply 3 by 2.

-2+6y+2⋅6=2(7-3(1-y))+9

Multiply 2 by 6.

-2+6y+12=2(7-3(1-y))+9

-2+6y+12=2(7-3(1-y))+9

Add -2 and 12.

6y+10=2(7-3(1-y))+9

6y+10=2(7-3(1-y))+9

Simplify each term.

Simplify each term.

Apply the distributive property.

6y+10=2(7-3⋅1-3(-y))+9

Multiply -3 by 1.

6y+10=2(7-3-3(-y))+9

Multiply -1 by -3.

6y+10=2(7-3+3y)+9

6y+10=2(7-3+3y)+9

Subtract 3 from 7.

6y+10=2(4+3y)+9

Apply the distributive property.

6y+10=2⋅4+2(3y)+9

Multiply 2 by 4.

6y+10=8+2(3y)+9

Multiply 3 by 2.

6y+10=8+6y+9

6y+10=8+6y+9

Add 8 and 9.

6y+10=6y+17

6y+10=6y+17

Subtract 6y from both sides of the equation.

6y+10-6y=17

Combine the opposite terms in 6y+10-6y.

Subtract 6y from 6y.

0+10=17

Add 0 and 10.

10=17

10=17

10=17

Since 10≠17, there are no solutions.

No solution

Solve for y 2(7-3(1-y))+9=-2+2(6(y+1)-3y)