Find the value of y

Algebra Level 1

Solve for y y .

2 y − 7 3 = 4 + y 4 \large{\dfrac{2y-7}{3}=\dfrac{4+y}{4}}


The answer is 8.

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1 solution

2 y − 7 3 = 4 + y 4 \dfrac{2y-7}{3}=\dfrac{4+y}{4}

Cross multiply.

4 ( 2 y − 7 ) = 3 ( 4 + y ) 4(2y-7)=3(4+y)

8 y − 28 = 12 + 3 y 8y-28=12+3y

5 y = 40 5y=40

y = 8 y=\boxed{8}

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