Solve for y 24(y+2)=3(7y+8)

Math
24(y+2)=3(7y+8)
Simplify 24(y+2).
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Apply the distributive property.
24y+24⋅2=3(7y+8)
Multiply 24 by 2.
24y+48=3(7y+8)
24y+48=3(7y+8)
Simplify 3(7y+8).
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Apply the distributive property.
24y+48=3(7y)+3⋅8
Multiply.
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Multiply 7 by 3.
24y+48=21y+3⋅8
Multiply 3 by 8.
24y+48=21y+24
24y+48=21y+24
24y+48=21y+24
Move all terms containing y to the left side of the equation.
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Subtract 21y from both sides of the equation.
24y+48-21y=24
Subtract 21y from 24y.
3y+48=24
3y+48=24
Move all terms not containing y to the right side of the equation.
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Subtract 48 from both sides of the equation.
3y=24-48
Subtract 48 from 24.
3y=-24
3y=-24
Divide each term by 3 and simplify.
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Divide each term in 3y=-24 by 3.
3y3=-243
Cancel the common factor of 3.
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Cancel the common factor.
3y3=-243
Divide y by 1.
y=-243
y=-243
Divide -24 by 3.
y=-8
y=-8
Solve for y 24(y+2)=3(7y+8)

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