Question

0.7(1.5 + y) = 3.5y - 1.47

Answer 1

Answer:

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$0.7\left(1.5+y\right)=3.5y-1.47$

$1.05+0.7y=3.5y-1.47 \gets \textsl{Expand}$

$1.05+0.7y-1.05=3.5y-1.47-1.05 \gets Subtract\; 1.05 \from\:both\:sides$

$0.7y=3.5y-2.52$

$0.7y-3.5y=3.5y-2.52-3.5y$

$\mathrm{Subtract\:}3.5y\mathrm{\:from\:both\:sides} \nwarrow$

$-2.8y=-2.52$

$\frac{-2.8y}{-2.8}=\frac{-2.52}{-2.8} \hookleftarrow \mathrm{Divide\:both\:sides\:by\:}-2.8$

$\boxed{\boxed{\underline{\textsf{\textbf{y=0.9}}}}}$

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Answer 2

Answer:

y = 0.9

Step-by-step explanation:

1.05 + 0.7y = 3.5y - 1.47

-3.5y + 0.7y = -1.47 - 1.05

-2.8y = -2.52

y = 9/10 = 0.9