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

Math
20y+2=4010
Divide 40 by 10.
20y+2=4
Solve for y.
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Multiply each term by y+2 and simplify.
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Multiply each term in 20y+2=4 by y+2.
20y+2⋅(y+2)=4⋅(y+2)
Cancel the common factor of y+2.
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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).
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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.
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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.
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Divide each term in 4y=12 by 4.
4y4=124
Cancel the common factor of 4.
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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

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