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Which steps can be used to solve for the value of y ? 2\3(y+57)=178

Sagot :

[tex] \frac{2}{3}(y+57)=178\\ \\ \frac{2}{3} \cdot y+\frac{2}{3}\cdot 57 =178 \\ \\ \frac{2}{3} \cdot y+\frac{2}{\not3^1}\cdot \not57^{19} =178 \\ \\ \frac{2}{3} \cdot y+2\cdot 19 =178 \\ \\ \frac{2}{3} \cdot y +38 =178 \\ \\ \frac{2}{3} \cdot y=178-38 \\ \\ \frac{2}{3} \cdot y =140 \ \ /\cdot \frac{3}{2}\\ \\ \frac{3}{2} \cdot \frac{2}{3} \cdot y =140\cdot \frac{3}{2} \\ \\y=70 \cdot 3 \\ \\ y=210[/tex]
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