Which steps can be used to solve for the value of y?
\[
\frac{2}{3}(y + 57) = 178
\]
Answer (3)
Multiply both sides by 3 to get rid of the fraction to make your life easier. 2(y+57)=534 Apply the distributive property. 2y+114=534 Subtract 114 from both sides. 2y=420 Divide both sides by 2. y=210
3 2 ( y + 57 ) = 178 3 2 ⋅ y + 3 2 ⋅ 57 = 178 3 2 ⋅ y + 3 1 2 ⋅ 5 7 19 = 178 3 2 ⋅ y + 2 ⋅ 19 = 178 3 2 ⋅ y + 38 = 178 3 2 ⋅ y = 178 − 38 3 2 ⋅ y = 140 / ⋅ 2 3 2 3 ⋅ 3 2 ⋅ y = 140 ⋅ 2 3 y = 70 ⋅ 3 y = 210
To solve for y in the equation 3 2 ( y + 57 ) = 178 , first eliminate the fraction by multiplying both sides by 3, then distribute, isolate y by subtracting, and finally divide to find y = 210 .
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