20y+2=4010

Divide 40 by 10.

20y+2=4

Multiply each term by y+2 and simplify.

Multiply each term in 20y+2=4 by y+2.

20y+2⋅(y+2)=4⋅(y+2)

Cancel the common factor of y+2.

Cancel the common factor.

20y+2⋅(y+2)=4⋅(y+2)

Rewrite the expression.

20=4⋅(y+2)

20=4⋅(y+2)

Simplify 4⋅(y+2).

Apply the distributive property.

20=4y+4⋅2

Multiply 4 by 2.

20=4y+8

20=4y+8

20=4y+8

Rewrite the equation as 4y+8=20.

4y+8=20

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

Subtract 8 from both sides of the equation.

4y=20-8

Subtract 8 from 20.

4y=12

4y=12

Divide each term by 4 and simplify.

Divide each term in 4y=12 by 4.

4y4=124

Cancel the common factor of 4.

Cancel the common factor.

4y4=124

Divide y by 1.

y=124

y=124

Divide 12 by 4.

y=3

y=3

y=3

Solve for y 20/(y+2)=40/10